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Finding the Fourth Proportional to 637.65, 880.29 and 428.92

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Solution

The fourth proportional to 637.65, 880.29 and 428.92 is: 592.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.65 : 880.29 = 428.92 : x
  2. Step 2: Convert to fraction form
    637.65/880.29 = 428.92/x
  3. Step 3: Cross multiply
    637.65x = 880.29 × 428.92
  4. Step 4: Simplify right side
    637.65x = 377,574.47
  5. Step 5: Solve for x
    x = 377,574.47/637.65
  6. Step 6: Final answer
    x = 592.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.