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Finding the Fourth Proportional to 792.72, 1,187.42 and 502.72

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Solution

The fourth proportional to 792.72, 1,187.42 and 502.72 is: 753.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.72 : 1,187.42 = 502.72 : x
  2. Step 2: Convert to fraction form
    792.72/1,187.42 = 502.72/x
  3. Step 3: Cross multiply
    792.72x = 1,187.42 × 502.72
  4. Step 4: Simplify right side
    792.72x = 596,939.78
  5. Step 5: Solve for x
    x = 596,939.78/792.72
  6. Step 6: Final answer
    x = 753.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.