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Finding the Fourth Proportional to 841.50, 1,161.31 and 487.42

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Solution

The fourth proportional to 841.50, 1,161.31 and 487.42 is: 672.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.50 : 1,161.31 = 487.42 : x
  2. Step 2: Convert to fraction form
    841.50/1,161.31 = 487.42/x
  3. Step 3: Cross multiply
    841.50x = 1,161.31 × 487.42
  4. Step 4: Simplify right side
    841.50x = 566,045.72
  5. Step 5: Solve for x
    x = 566,045.72/841.50
  6. Step 6: Final answer
    x = 672.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.