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Finding the Fourth Proportional to 729.69, 1,087.16 and 694.86

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Solution

The fourth proportional to 729.69, 1,087.16 and 694.86 is: 1,035.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.69 : 1,087.16 = 694.86 : x
  2. Step 2: Convert to fraction form
    729.69/1,087.16 = 694.86/x
  3. Step 3: Cross multiply
    729.69x = 1,087.16 × 694.86
  4. Step 4: Simplify right side
    729.69x = 755,416.45
  5. Step 5: Solve for x
    x = 755,416.45/729.69
  6. Step 6: Final answer
    x = 1,035.26

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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.