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Finding the Fourth Proportional to 649.60, 973.68 and 417.76

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Solution

The fourth proportional to 649.60, 973.68 and 417.76 is: 626.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.60 : 973.68 = 417.76 : x
  2. Step 2: Convert to fraction form
    649.60/973.68 = 417.76/x
  3. Step 3: Cross multiply
    649.60x = 973.68 × 417.76
  4. Step 4: Simplify right side
    649.60x = 406,764.56
  5. Step 5: Solve for x
    x = 406,764.56/649.60
  6. Step 6: Final answer
    x = 626.18

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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.