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Finding the Fourth Proportional to 708, 981.24 and 697.20

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Solution

The fourth proportional to 708, 981.24 and 697.20 is: 966.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    708 : 981.24 = 697.20 : x
  2. Step 2: Convert to fraction form
    708/981.24 = 697.20/x
  3. Step 3: Cross multiply
    708x = 981.24 × 697.20
  4. Step 4: Simplify right side
    708x = 684,120.53
  5. Step 5: Solve for x
    x = 684,120.53/708
  6. Step 6: Final answer
    x = 966.27

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.