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Finding the Fourth Proportional to 714.80, 1,072.24 and 421.76

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Solution

The fourth proportional to 714.80, 1,072.24 and 421.76 is: 632.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.80 : 1,072.24 = 421.76 : x
  2. Step 2: Convert to fraction form
    714.80/1,072.24 = 421.76/x
  3. Step 3: Cross multiply
    714.80x = 1,072.24 × 421.76
  4. Step 4: Simplify right side
    714.80x = 452,227.94
  5. Step 5: Solve for x
    x = 452,227.94/714.80
  6. Step 6: Final answer
    x = 632.66

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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.