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Finding the Fourth Proportional to 1,134, 1,564.56 and 691.68

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Solution

The fourth proportional to 1,134, 1,564.56 and 691.68 is: 954.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134 : 1,564.56 = 691.68 : x
  2. Step 2: Convert to fraction form
    1,134/1,564.56 = 691.68/x
  3. Step 3: Cross multiply
    1,134x = 1,564.56 × 691.68
  4. Step 4: Simplify right side
    1,134x = 1,082,174.86
  5. Step 5: Solve for x
    x = 1,082,174.86/1,134
  6. Step 6: Final answer
    x = 954.30

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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.