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Finding the Fourth Proportional to 435.98, 649.54 and 417.35

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Solution

The fourth proportional to 435.98, 649.54 and 417.35 is: 621.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.98 : 649.54 = 417.35 : x
  2. Step 2: Convert to fraction form
    435.98/649.54 = 417.35/x
  3. Step 3: Cross multiply
    435.98x = 649.54 × 417.35
  4. Step 4: Simplify right side
    435.98x = 271,085.52
  5. Step 5: Solve for x
    x = 271,085.52/435.98
  6. Step 6: Final answer
    x = 621.78

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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.