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Finding the Fourth Proportional to 697.69, 1,045.32 and 680.68

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Solution

The fourth proportional to 697.69, 1,045.32 and 680.68 is: 1,019.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.69 : 1,045.32 = 680.68 : x
  2. Step 2: Convert to fraction form
    697.69/1,045.32 = 680.68/x
  3. Step 3: Cross multiply
    697.69x = 1,045.32 × 680.68
  4. Step 4: Simplify right side
    697.69x = 711,528.42
  5. Step 5: Solve for x
    x = 711,528.42/697.69
  6. Step 6: Final answer
    x = 1,019.83

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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.