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Finding the Fourth Proportional to 744.66, 1,115.42 and 560.03

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Solution

The fourth proportional to 744.66, 1,115.42 and 560.03 is: 838.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.66 : 1,115.42 = 560.03 : x
  2. Step 2: Convert to fraction form
    744.66/1,115.42 = 560.03/x
  3. Step 3: Cross multiply
    744.66x = 1,115.42 × 560.03
  4. Step 4: Simplify right side
    744.66x = 624,660.29
  5. Step 5: Solve for x
    x = 624,660.29/744.66
  6. Step 6: Final answer
    x = 838.85

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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.