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Finding the Fourth Proportional to 985.97, 1,478.55 and 575.91

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Solution

The fourth proportional to 985.97, 1,478.55 and 575.91 is: 863.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.97 : 1,478.55 = 575.91 : x
  2. Step 2: Convert to fraction form
    985.97/1,478.55 = 575.91/x
  3. Step 3: Cross multiply
    985.97x = 1,478.55 × 575.91
  4. Step 4: Simplify right side
    985.97x = 851,513.89
  5. Step 5: Solve for x
    x = 851,513.89/985.97
  6. Step 6: Final answer
    x = 863.63

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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.