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Finding the Fourth Proportional to 860.45, 1,187.61 and 565.75

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Solution

The fourth proportional to 860.45, 1,187.61 and 565.75 is: 780.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.45 : 1,187.61 = 565.75 : x
  2. Step 2: Convert to fraction form
    860.45/1,187.61 = 565.75/x
  3. Step 3: Cross multiply
    860.45x = 1,187.61 × 565.75
  4. Step 4: Simplify right side
    860.45x = 671,884.42
  5. Step 5: Solve for x
    x = 671,884.42/860.45
  6. Step 6: Final answer
    x = 780.85

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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.