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Finding the Fourth Proportional to 468.43, 702.64 and 456.81

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Solution

The fourth proportional to 468.43, 702.64 and 456.81 is: 685.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.43 : 702.64 = 456.81 : x
  2. Step 2: Convert to fraction form
    468.43/702.64 = 456.81/x
  3. Step 3: Cross multiply
    468.43x = 702.64 × 456.81
  4. Step 4: Simplify right side
    468.43x = 320,970.91
  5. Step 5: Solve for x
    x = 320,970.91/468.43
  6. Step 6: Final answer
    x = 685.21

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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.