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Finding the Fourth Proportional to 697.13, 1,047.82 and 606.91

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Solution

The fourth proportional to 697.13, 1,047.82 and 606.91 is: 912.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.13 : 1,047.82 = 606.91 : x
  2. Step 2: Convert to fraction form
    697.13/1,047.82 = 606.91/x
  3. Step 3: Cross multiply
    697.13x = 1,047.82 × 606.91
  4. Step 4: Simplify right side
    697.13x = 635,932.44
  5. Step 5: Solve for x
    x = 635,932.44/697.13
  6. Step 6: Final answer
    x = 912.21

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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.