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Finding the Fourth Proportional to 531.36, 730.88 and 465.92

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Solution

The fourth proportional to 531.36, 730.88 and 465.92 is: 640.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.36 : 730.88 = 465.92 : x
  2. Step 2: Convert to fraction form
    531.36/730.88 = 465.92/x
  3. Step 3: Cross multiply
    531.36x = 730.88 × 465.92
  4. Step 4: Simplify right side
    531.36x = 340,531.61
  5. Step 5: Solve for x
    x = 340,531.61/531.36
  6. Step 6: Final answer
    x = 640.87

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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.