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Finding the Fourth Proportional to 861.41, 1,291.88 and 374.36

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Solution

The fourth proportional to 861.41, 1,291.88 and 374.36 is: 561.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.41 : 1,291.88 = 374.36 : x
  2. Step 2: Convert to fraction form
    861.41/1,291.88 = 374.36/x
  3. Step 3: Cross multiply
    861.41x = 1,291.88 × 374.36
  4. Step 4: Simplify right side
    861.41x = 483,622.67
  5. Step 5: Solve for x
    x = 483,622.67/861.41
  6. Step 6: Final answer
    x = 561.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.