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Finding the Fourth Proportional to 985.72, 1,360.20 and 565.95

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Solution

The fourth proportional to 985.72, 1,360.20 and 565.95 is: 780.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.72 : 1,360.20 = 565.95 : x
  2. Step 2: Convert to fraction form
    985.72/1,360.20 = 565.95/x
  3. Step 3: Cross multiply
    985.72x = 1,360.20 × 565.95
  4. Step 4: Simplify right side
    985.72x = 769,805.19
  5. Step 5: Solve for x
    x = 769,805.19/985.72
  6. Step 6: Final answer
    x = 780.96

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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.