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Finding the Fourth Proportional to 430.47, 642.24 and 425.88

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Solution

The fourth proportional to 430.47, 642.24 and 425.88 is: 635.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.47 : 642.24 = 425.88 : x
  2. Step 2: Convert to fraction form
    430.47/642.24 = 425.88/x
  3. Step 3: Cross multiply
    430.47x = 642.24 × 425.88
  4. Step 4: Simplify right side
    430.47x = 273,517.17
  5. Step 5: Solve for x
    x = 273,517.17/430.47
  6. Step 6: Final answer
    x = 635.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.