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Finding the Fourth Proportional to 697.85, 1,042.12 and 657.35

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Solution

The fourth proportional to 697.85, 1,042.12 and 657.35 is: 981.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.85 : 1,042.12 = 657.35 : x
  2. Step 2: Convert to fraction form
    697.85/1,042.12 = 657.35/x
  3. Step 3: Cross multiply
    697.85x = 1,042.12 × 657.35
  4. Step 4: Simplify right side
    697.85x = 685,037.58
  5. Step 5: Solve for x
    x = 685,037.58/697.85
  6. Step 6: Final answer
    x = 981.64

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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.