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Finding the Fourth Proportional to 917.62, 1,375.63 and 478.62

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Solution

The fourth proportional to 917.62, 1,375.63 and 478.62 is: 717.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.62 : 1,375.63 = 478.62 : x
  2. Step 2: Convert to fraction form
    917.62/1,375.63 = 478.62/x
  3. Step 3: Cross multiply
    917.62x = 1,375.63 × 478.62
  4. Step 4: Simplify right side
    917.62x = 658,402.83
  5. Step 5: Solve for x
    x = 658,402.83/917.62
  6. Step 6: Final answer
    x = 717.51

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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.