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Finding the Fourth Proportional to 637.47, 880.19 and 416.55

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Solution

The fourth proportional to 637.47, 880.19 and 416.55 is: 575.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.47 : 880.19 = 416.55 : x
  2. Step 2: Convert to fraction form
    637.47/880.19 = 416.55/x
  3. Step 3: Cross multiply
    637.47x = 880.19 × 416.55
  4. Step 4: Simplify right side
    637.47x = 366,641.06
  5. Step 5: Solve for x
    x = 366,641.06/637.47
  6. Step 6: Final answer
    x = 575.15

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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.