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Finding the Fourth Proportional to 860.34, 1,187.10 and 545.66

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Solution

The fourth proportional to 860.34, 1,187.10 and 545.66 is: 752.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.34 : 1,187.10 = 545.66 : x
  2. Step 2: Convert to fraction form
    860.34/1,187.10 = 545.66/x
  3. Step 3: Cross multiply
    860.34x = 1,187.10 × 545.66
  4. Step 4: Simplify right side
    860.34x = 647,747.05
  5. Step 5: Solve for x
    x = 647,747.05/860.34
  6. Step 6: Final answer
    x = 752.90

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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.