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Finding the Fourth Proportional to 714.84, 1,071.30 and 532.92

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Solution

The fourth proportional to 714.84, 1,071.30 and 532.92 is: 798.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.84 : 1,071.30 = 532.92 : x
  2. Step 2: Convert to fraction form
    714.84/1,071.30 = 532.92/x
  3. Step 3: Cross multiply
    714.84x = 1,071.30 × 532.92
  4. Step 4: Simplify right side
    714.84x = 570,917.20
  5. Step 5: Solve for x
    x = 570,917.20/714.84
  6. Step 6: Final answer
    x = 798.66

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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.