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Finding the Fourth Proportional to 954.87, 1,432.73 and 515.62

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Solution

The fourth proportional to 954.87, 1,432.73 and 515.62 is: 773.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.87 : 1,432.73 = 515.62 : x
  2. Step 2: Convert to fraction form
    954.87/1,432.73 = 515.62/x
  3. Step 3: Cross multiply
    954.87x = 1,432.73 × 515.62
  4. Step 4: Simplify right side
    954.87x = 738,734.50
  5. Step 5: Solve for x
    x = 738,734.50/954.87
  6. Step 6: Final answer
    x = 773.65

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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.