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Finding the Fourth Proportional to 649.75, 897.21 and 417.28

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Solution

The fourth proportional to 649.75, 897.21 and 417.28 is: 576.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.75 : 897.21 = 417.28 : x
  2. Step 2: Convert to fraction form
    649.75/897.21 = 417.28/x
  3. Step 3: Cross multiply
    649.75x = 897.21 × 417.28
  4. Step 4: Simplify right side
    649.75x = 374,387.79
  5. Step 5: Solve for x
    x = 374,387.79/649.75
  6. Step 6: Final answer
    x = 576.20

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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.