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Finding the Fourth Proportional to 762.81, 1,052.67 and 431.23

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Solution

The fourth proportional to 762.81, 1,052.67 and 431.23 is: 595.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.81 : 1,052.67 = 431.23 : x
  2. Step 2: Convert to fraction form
    762.81/1,052.67 = 431.23/x
  3. Step 3: Cross multiply
    762.81x = 1,052.67 × 431.23
  4. Step 4: Simplify right side
    762.81x = 453,937.47
  5. Step 5: Solve for x
    x = 453,937.47/762.81
  6. Step 6: Final answer
    x = 595.08

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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.