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Finding the Fourth Proportional to 1,102.81, 1,521.95 and 729.13

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Solution

The fourth proportional to 1,102.81, 1,521.95 and 729.13 is: 1,006.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.81 : 1,521.95 = 729.13 : x
  2. Step 2: Convert to fraction form
    1,102.81/1,521.95 = 729.13/x
  3. Step 3: Cross multiply
    1,102.81x = 1,521.95 × 729.13
  4. Step 4: Simplify right side
    1,102.81x = 1,109,699.40
  5. Step 5: Solve for x
    x = 1,109,699.40/1,102.81
  6. Step 6: Final answer
    x = 1,006.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.