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Finding the Fourth Proportional to 714.80, 1,072.20 and 406.52

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Solution

The fourth proportional to 714.80, 1,072.20 and 406.52 is: 609.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.80 : 1,072.20 = 406.52 : x
  2. Step 2: Convert to fraction form
    714.80/1,072.20 = 406.52/x
  3. Step 3: Cross multiply
    714.80x = 1,072.20 × 406.52
  4. Step 4: Simplify right side
    714.80x = 435,870.74
  5. Step 5: Solve for x
    x = 435,870.74/714.80
  6. Step 6: Final answer
    x = 609.78

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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.