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Finding the Fourth Proportional to 1,077.79, 1,487.97 and 724.35

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Solution

The fourth proportional to 1,077.79, 1,487.97 and 724.35 is: 1,000.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.79 : 1,487.97 = 724.35 : x
  2. Step 2: Convert to fraction form
    1,077.79/1,487.97 = 724.35/x
  3. Step 3: Cross multiply
    1,077.79x = 1,487.97 × 724.35
  4. Step 4: Simplify right side
    1,077.79x = 1,077,811.07
  5. Step 5: Solve for x
    x = 1,077,811.07/1,077.79
  6. Step 6: Final answer
    x = 1,000.02

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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.