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Finding the Fourth Proportional to 649.02, 972.11 and 417.16

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Solution

The fourth proportional to 649.02, 972.11 and 417.16 is: 624.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.02 : 972.11 = 417.16 : x
  2. Step 2: Convert to fraction form
    649.02/972.11 = 417.16/x
  3. Step 3: Cross multiply
    649.02x = 972.11 × 417.16
  4. Step 4: Simplify right side
    649.02x = 405,519.85
  5. Step 5: Solve for x
    x = 405,519.85/649.02
  6. Step 6: Final answer
    x = 624.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.