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Finding the Fourth Proportional to 440.38, 655.91 and 417.25

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Solution

The fourth proportional to 440.38, 655.91 and 417.25 is: 621.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.38 : 655.91 = 417.25 : x
  2. Step 2: Convert to fraction form
    440.38/655.91 = 417.25/x
  3. Step 3: Cross multiply
    440.38x = 655.91 × 417.25
  4. Step 4: Simplify right side
    440.38x = 273,675.17
  5. Step 5: Solve for x
    x = 273,675.17/440.38
  6. Step 6: Final answer
    x = 621.46

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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.