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Finding the Fourth Proportional to 743.56, 1,113.28 and 560.40

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Solution

The fourth proportional to 743.56, 1,113.28 and 560.40 is: 839.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.56 : 1,113.28 = 560.40 : x
  2. Step 2: Convert to fraction form
    743.56/1,113.28 = 560.40/x
  3. Step 3: Cross multiply
    743.56x = 1,113.28 × 560.40
  4. Step 4: Simplify right side
    743.56x = 623,876.54
  5. Step 5: Solve for x
    x = 623,876.54/743.56
  6. Step 6: Final answer
    x = 839.04

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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.