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Finding the Fourth Proportional to 720.68, 994.78 and 546.04

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Solution

The fourth proportional to 720.68, 994.78 and 546.04 is: 753.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.68 : 994.78 = 546.04 : x
  2. Step 2: Convert to fraction form
    720.68/994.78 = 546.04/x
  3. Step 3: Cross multiply
    720.68x = 994.78 × 546.04
  4. Step 4: Simplify right side
    720.68x = 543,189.67
  5. Step 5: Solve for x
    x = 543,189.67/720.68
  6. Step 6: Final answer
    x = 753.72

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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.