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Finding the Fourth Proportional to 861.76, 1,293.12 and 375.36

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Solution

The fourth proportional to 861.76, 1,293.12 and 375.36 is: 563.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.76 : 1,293.12 = 375.36 : x
  2. Step 2: Convert to fraction form
    861.76/1,293.12 = 375.36/x
  3. Step 3: Cross multiply
    861.76x = 1,293.12 × 375.36
  4. Step 4: Simplify right side
    861.76x = 485,385.52
  5. Step 5: Solve for x
    x = 485,385.52/861.76
  6. Step 6: Final answer
    x = 563.25

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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.