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Finding the Fourth Proportional to 1,154.58, 1,594.14 and 762.42

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Solution

The fourth proportional to 1,154.58, 1,594.14 and 762.42 is: 1,052.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.58 : 1,594.14 = 762.42 : x
  2. Step 2: Convert to fraction form
    1,154.58/1,594.14 = 762.42/x
  3. Step 3: Cross multiply
    1,154.58x = 1,594.14 × 762.42
  4. Step 4: Simplify right side
    1,154.58x = 1,215,404.22
  5. Step 5: Solve for x
    x = 1,215,404.22/1,154.58
  6. Step 6: Final answer
    x = 1,052.68

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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.