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Finding the Fourth Proportional to 697.34, 1,045.98 and 679.91

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Solution

The fourth proportional to 697.34, 1,045.98 and 679.91 is: 1,019.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.34 : 1,045.98 = 679.91 : x
  2. Step 2: Convert to fraction form
    697.34/1,045.98 = 679.91/x
  3. Step 3: Cross multiply
    697.34x = 1,045.98 × 679.91
  4. Step 4: Simplify right side
    697.34x = 711,167.03
  5. Step 5: Solve for x
    x = 711,167.03/697.34
  6. Step 6: Final answer
    x = 1,019.82

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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.