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Finding the Fourth Proportional to 1,023.92, 1,412.06 and 691.72

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Solution

The fourth proportional to 1,023.92, 1,412.06 and 691.72 is: 953.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.92 : 1,412.06 = 691.72 : x
  2. Step 2: Convert to fraction form
    1,023.92/1,412.06 = 691.72/x
  3. Step 3: Cross multiply
    1,023.92x = 1,412.06 × 691.72
  4. Step 4: Simplify right side
    1,023.92x = 976,750.14
  5. Step 5: Solve for x
    x = 976,750.14/1,023.92
  6. Step 6: Final answer
    x = 953.93

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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.