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Finding the Fourth Proportional to 507.82, 700.76 and 321.26

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Solution

The fourth proportional to 507.82, 700.76 and 321.26 is: 443.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.82 : 700.76 = 321.26 : x
  2. Step 2: Convert to fraction form
    507.82/700.76 = 321.26/x
  3. Step 3: Cross multiply
    507.82x = 700.76 × 321.26
  4. Step 4: Simplify right side
    507.82x = 225,126.16
  5. Step 5: Solve for x
    x = 225,126.16/507.82
  6. Step 6: Final answer
    x = 443.32

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Find fourth proportional to 253.91, 350.38 and 160.63
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.