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Finding the Fourth Proportional to 729.04, 1,091.42 and 566.86

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Solution

The fourth proportional to 729.04, 1,091.42 and 566.86 is: 848.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.04 : 1,091.42 = 566.86 : x
  2. Step 2: Convert to fraction form
    729.04/1,091.42 = 566.86/x
  3. Step 3: Cross multiply
    729.04x = 1,091.42 × 566.86
  4. Step 4: Simplify right side
    729.04x = 618,682.34
  5. Step 5: Solve for x
    x = 618,682.34/729.04
  6. Step 6: Final answer
    x = 848.63

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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.