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Finding the Fourth Proportional to 845.92, 1,166.48 and 565.76

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Solution

The fourth proportional to 845.92, 1,166.48 and 565.76 is: 780.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.92 : 1,166.48 = 565.76 : x
  2. Step 2: Convert to fraction form
    845.92/1,166.48 = 565.76/x
  3. Step 3: Cross multiply
    845.92x = 1,166.48 × 565.76
  4. Step 4: Simplify right side
    845.92x = 659,947.72
  5. Step 5: Solve for x
    x = 659,947.72/845.92
  6. Step 6: Final answer
    x = 780.15

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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.