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Finding the Fourth Proportional to 954.87, 1,432.57 and 378.15

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Solution

The fourth proportional to 954.87, 1,432.57 and 378.15 is: 567.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.87 : 1,432.57 = 378.15 : x
  2. Step 2: Convert to fraction form
    954.87/1,432.57 = 378.15/x
  3. Step 3: Cross multiply
    954.87x = 1,432.57 × 378.15
  4. Step 4: Simplify right side
    954.87x = 541,726.35
  5. Step 5: Solve for x
    x = 541,726.35/954.87
  6. Step 6: Final answer
    x = 567.33

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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.