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Finding the Fourth Proportional to 649.90, 897.16 and 417.16

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Solution

The fourth proportional to 649.90, 897.16 and 417.16 is: 575.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.90 : 897.16 = 417.16 : x
  2. Step 2: Convert to fraction form
    649.90/897.16 = 417.16/x
  3. Step 3: Cross multiply
    649.90x = 897.16 × 417.16
  4. Step 4: Simplify right side
    649.90x = 374,259.27
  5. Step 5: Solve for x
    x = 374,259.27/649.90
  6. Step 6: Final answer
    x = 575.87

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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.