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Finding the Fourth Proportional to 509.49, 763.43 and 365.31

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Solution

The fourth proportional to 509.49, 763.43 and 365.31 is: 547.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.49 : 763.43 = 365.31 : x
  2. Step 2: Convert to fraction form
    509.49/763.43 = 365.31/x
  3. Step 3: Cross multiply
    509.49x = 763.43 × 365.31
  4. Step 4: Simplify right side
    509.49x = 278,886.79
  5. Step 5: Solve for x
    x = 278,886.79/509.49
  6. Step 6: Final answer
    x = 547.38

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.