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Finding the Fourth Proportional to 697.91, 1,047.03 and 492.87

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Solution

The fourth proportional to 697.91, 1,047.03 and 492.87 is: 739.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.91 : 1,047.03 = 492.87 : x
  2. Step 2: Convert to fraction form
    697.91/1,047.03 = 492.87/x
  3. Step 3: Cross multiply
    697.91x = 1,047.03 × 492.87
  4. Step 4: Simplify right side
    697.91x = 516,051.75
  5. Step 5: Solve for x
    x = 516,051.75/697.91
  6. Step 6: Final answer
    x = 739.43

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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.