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Finding the Fourth Proportional to 425.88, 634.68 and 407.52

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Solution

The fourth proportional to 425.88, 634.68 and 407.52 is: 607.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.88 : 634.68 = 407.52 : x
  2. Step 2: Convert to fraction form
    425.88/634.68 = 407.52/x
  3. Step 3: Cross multiply
    425.88x = 634.68 × 407.52
  4. Step 4: Simplify right side
    425.88x = 258,644.79
  5. Step 5: Solve for x
    x = 258,644.79/425.88
  6. Step 6: Final answer
    x = 607.32

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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.