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Finding the Fourth Proportional to 507.82, 701.06 and 342.90

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Solution

The fourth proportional to 507.82, 701.06 and 342.90 is: 473.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.82 : 701.06 = 342.90 : x
  2. Step 2: Convert to fraction form
    507.82/701.06 = 342.90/x
  3. Step 3: Cross multiply
    507.82x = 701.06 × 342.90
  4. Step 4: Simplify right side
    507.82x = 240,393.47
  5. Step 5: Solve for x
    x = 240,393.47/507.82
  6. Step 6: Final answer
    x = 473.38

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Double scale
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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.