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Finding the Fourth Proportional to 729.81, 1,089.52 and 704.18

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Solution

The fourth proportional to 729.81, 1,089.52 and 704.18 is: 1,051.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.81 : 1,089.52 = 704.18 : x
  2. Step 2: Convert to fraction form
    729.81/1,089.52 = 704.18/x
  3. Step 3: Cross multiply
    729.81x = 1,089.52 × 704.18
  4. Step 4: Simplify right side
    729.81x = 767,213.75
  5. Step 5: Solve for x
    x = 767,213.75/729.81
  6. Step 6: Final answer
    x = 1,051.25

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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.