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Finding the Fourth Proportional to 697.80, 1,042.02 and 657.30

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Solution

The fourth proportional to 697.80, 1,042.02 and 657.30 is: 981.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.80 : 1,042.02 = 657.30 : x
  2. Step 2: Convert to fraction form
    697.80/1,042.02 = 657.30/x
  3. Step 3: Cross multiply
    697.80x = 1,042.02 × 657.30
  4. Step 4: Simplify right side
    697.80x = 684,919.75
  5. Step 5: Solve for x
    x = 684,919.75/697.80
  6. Step 6: Final answer
    x = 981.54

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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.