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Finding the Fourth Proportional to 720.65, 994.73 and 534.08

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Solution

The fourth proportional to 720.65, 994.73 and 534.08 is: 737.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.65 : 994.73 = 534.08 : x
  2. Step 2: Convert to fraction form
    720.65/994.73 = 534.08/x
  3. Step 3: Cross multiply
    720.65x = 994.73 × 534.08
  4. Step 4: Simplify right side
    720.65x = 531,257.75
  5. Step 5: Solve for x
    x = 531,257.75/720.65
  6. Step 6: Final answer
    x = 737.20

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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.