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Finding the Fourth Proportional to 1,146.74, 1,582.54 and 767.96

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Solution

The fourth proportional to 1,146.74, 1,582.54 and 767.96 is: 1,059.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.74 : 1,582.54 = 767.96 : x
  2. Step 2: Convert to fraction form
    1,146.74/1,582.54 = 767.96/x
  3. Step 3: Cross multiply
    1,146.74x = 1,582.54 × 767.96
  4. Step 4: Simplify right side
    1,146.74x = 1,215,327.42
  5. Step 5: Solve for x
    x = 1,215,327.42/1,146.74
  6. Step 6: Final answer
    x = 1,059.81

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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.