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Finding the Fourth Proportional to 985.73, 1,478.88 and 574.11

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Solution

The fourth proportional to 985.73, 1,478.88 and 574.11 is: 861.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.73 : 1,478.88 = 574.11 : x
  2. Step 2: Convert to fraction form
    985.73/1,478.88 = 574.11/x
  3. Step 3: Cross multiply
    985.73x = 1,478.88 × 574.11
  4. Step 4: Simplify right side
    985.73x = 849,039.80
  5. Step 5: Solve for x
    x = 849,039.80/985.73
  6. Step 6: Final answer
    x = 861.34

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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.