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Finding the Fourth Proportional to 425.68, 637.71 and 288.34

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Solution

The fourth proportional to 425.68, 637.71 and 288.34 is: 431.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.68 : 637.71 = 288.34 : x
  2. Step 2: Convert to fraction form
    425.68/637.71 = 288.34/x
  3. Step 3: Cross multiply
    425.68x = 637.71 × 288.34
  4. Step 4: Simplify right side
    425.68x = 183,877.30
  5. Step 5: Solve for x
    x = 183,877.30/425.68
  6. Step 6: Final answer
    x = 431.96

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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.