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Finding the Fourth Proportional to 507.39, 700.20 and 286.37

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Solution

The fourth proportional to 507.39, 700.20 and 286.37 is: 395.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.39 : 700.20 = 286.37 : x
  2. Step 2: Convert to fraction form
    507.39/700.20 = 286.37/x
  3. Step 3: Cross multiply
    507.39x = 700.20 × 286.37
  4. Step 4: Simplify right side
    507.39x = 200,512.77
  5. Step 5: Solve for x
    x = 200,512.77/507.39
  6. Step 6: Final answer
    x = 395.18

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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.