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Finding the Fourth Proportional to 744.23, 1,115.40 and 560.18

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Solution

The fourth proportional to 744.23, 1,115.40 and 560.18 is: 839.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.23 : 1,115.40 = 560.18 : x
  2. Step 2: Convert to fraction form
    744.23/1,115.40 = 560.18/x
  3. Step 3: Cross multiply
    744.23x = 1,115.40 × 560.18
  4. Step 4: Simplify right side
    744.23x = 624,824.77
  5. Step 5: Solve for x
    x = 624,824.77/744.23
  6. Step 6: Final answer
    x = 839.56

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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.