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Finding the Fourth Proportional to 720.18, 1,074.11 and 616.50

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Solution

The fourth proportional to 720.18, 1,074.11 and 616.50 is: 919.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.18 : 1,074.11 = 616.50 : x
  2. Step 2: Convert to fraction form
    720.18/1,074.11 = 616.50/x
  3. Step 3: Cross multiply
    720.18x = 1,074.11 × 616.50
  4. Step 4: Simplify right side
    720.18x = 662,185.73
  5. Step 5: Solve for x
    x = 662,185.73/720.18
  6. Step 6: Final answer
    x = 919.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.