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Finding the Fourth Proportional to 532.30, 802.41 and 496.30

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Solution

The fourth proportional to 532.30, 802.41 and 496.30 is: 748.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.30 : 802.41 = 496.30 : x
  2. Step 2: Convert to fraction form
    532.30/802.41 = 496.30/x
  3. Step 3: Cross multiply
    532.30x = 802.41 × 496.30
  4. Step 4: Simplify right side
    532.30x = 398,233.60
  5. Step 5: Solve for x
    x = 398,233.60/532.30
  6. Step 6: Final answer
    x = 748.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.