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Finding the Fourth Proportional to 1,134.24, 1,565 and 691.36

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Solution

The fourth proportional to 1,134.24, 1,565 and 691.36 is: 953.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.24 : 1,565 = 691.36 : x
  2. Step 2: Convert to fraction form
    1,134.24/1,565 = 691.36/x
  3. Step 3: Cross multiply
    1,134.24x = 1,565 × 691.36
  4. Step 4: Simplify right side
    1,134.24x = 1,081,978.40
  5. Step 5: Solve for x
    x = 1,081,978.40/1,134.24
  6. Step 6: Final answer
    x = 953.92

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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.