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Finding the Fourth Proportional to 1,437.84, 2,154.96 and 615.15

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Solution

The fourth proportional to 1,437.84, 2,154.96 and 615.15 is: 921.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.84 : 2,154.96 = 615.15 : x
  2. Step 2: Convert to fraction form
    1,437.84/2,154.96 = 615.15/x
  3. Step 3: Cross multiply
    1,437.84x = 2,154.96 × 615.15
  4. Step 4: Simplify right side
    1,437.84x = 1,325,630.57
  5. Step 5: Solve for x
    x = 1,325,630.57/1,437.84
  6. Step 6: Final answer
    x = 921.96

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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.