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Finding the Fourth Proportional to 981.04, 1,471.20 and 287.53

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Solution

The fourth proportional to 981.04, 1,471.20 and 287.53 is: 431.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.04 : 1,471.20 = 287.53 : x
  2. Step 2: Convert to fraction form
    981.04/1,471.20 = 287.53/x
  3. Step 3: Cross multiply
    981.04x = 1,471.20 × 287.53
  4. Step 4: Simplify right side
    981.04x = 423,014.14
  5. Step 5: Solve for x
    x = 423,014.14/981.04
  6. Step 6: Final answer
    x = 431.19

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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.