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Finding the Fourth Proportional to 985.43, 1,478.86 and 574.70

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Solution

The fourth proportional to 985.43, 1,478.86 and 574.70 is: 862.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.43 : 1,478.86 = 574.70 : x
  2. Step 2: Convert to fraction form
    985.43/1,478.86 = 574.70/x
  3. Step 3: Cross multiply
    985.43x = 1,478.86 × 574.70
  4. Step 4: Simplify right side
    985.43x = 849,892.01
  5. Step 5: Solve for x
    x = 849,892.01/985.43
  6. Step 6: Final answer
    x = 862.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.