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Finding the Fourth Proportional to 1,864.73, 2,797.10 and 615.30

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Solution

The fourth proportional to 1,864.73, 2,797.10 and 615.30 is: 922.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,864.73 : 2,797.10 = 615.30 : x
  2. Step 2: Convert to fraction form
    1,864.73/2,797.10 = 615.30/x
  3. Step 3: Cross multiply
    1,864.73x = 2,797.10 × 615.30
  4. Step 4: Simplify right side
    1,864.73x = 1,721,052.55
  5. Step 5: Solve for x
    x = 1,721,052.55/1,864.73
  6. Step 6: Final answer
    x = 922.95

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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.