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Finding the Fourth Proportional to 637.92, 880.45 and 417.06

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Solution

The fourth proportional to 637.92, 880.45 and 417.06 is: 575.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.92 : 880.45 = 417.06 : x
  2. Step 2: Convert to fraction form
    637.92/880.45 = 417.06/x
  3. Step 3: Cross multiply
    637.92x = 880.45 × 417.06
  4. Step 4: Simplify right side
    637.92x = 367,200.48
  5. Step 5: Solve for x
    x = 367,200.48/637.92
  6. Step 6: Final answer
    x = 575.62

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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.