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Finding the Fourth Proportional to 726.25, 1,000.06 and 615.49

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Solution

The fourth proportional to 726.25, 1,000.06 and 615.49 is: 847.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.25 : 1,000.06 = 615.49 : x
  2. Step 2: Convert to fraction form
    726.25/1,000.06 = 615.49/x
  3. Step 3: Cross multiply
    726.25x = 1,000.06 × 615.49
  4. Step 4: Simplify right side
    726.25x = 615,526.93
  5. Step 5: Solve for x
    x = 615,526.93/726.25
  6. Step 6: Final answer
    x = 847.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.