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Finding the Fourth Proportional to 762.81, 1,052.96 and 468.47

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Solution

The fourth proportional to 762.81, 1,052.96 and 468.47 is: 646.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.81 : 1,052.96 = 468.47 : x
  2. Step 2: Convert to fraction form
    762.81/1,052.96 = 468.47/x
  3. Step 3: Cross multiply
    762.81x = 1,052.96 × 468.47
  4. Step 4: Simplify right side
    762.81x = 493,280.17
  5. Step 5: Solve for x
    x = 493,280.17/762.81
  6. Step 6: Final answer
    x = 646.66

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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.