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Finding the Fourth Proportional to 714.56, 1,069.32 and 424.40

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Solution

The fourth proportional to 714.56, 1,069.32 and 424.40 is: 635.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.56 : 1,069.32 = 424.40 : x
  2. Step 2: Convert to fraction form
    714.56/1,069.32 = 424.40/x
  3. Step 3: Cross multiply
    714.56x = 1,069.32 × 424.40
  4. Step 4: Simplify right side
    714.56x = 453,819.41
  5. Step 5: Solve for x
    x = 453,819.41/714.56
  6. Step 6: Final answer
    x = 635.10

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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.