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Finding the Fourth Proportional to 509.97, 764.96 and 477.17

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Solution

The fourth proportional to 509.97, 764.96 and 477.17 is: 715.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.97 : 764.96 = 477.17 : x
  2. Step 2: Convert to fraction form
    509.97/764.96 = 477.17/x
  3. Step 3: Cross multiply
    509.97x = 764.96 × 477.17
  4. Step 4: Simplify right side
    509.97x = 365,009.75
  5. Step 5: Solve for x
    x = 365,009.75/509.97
  6. Step 6: Final answer
    x = 715.75

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Double scale
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Similar ratio
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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.