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Finding the Fourth Proportional to 981.94, 1,471.59 and 591.46

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Solution

The fourth proportional to 981.94, 1,471.59 and 591.46 is: 886.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.94 : 1,471.59 = 591.46 : x
  2. Step 2: Convert to fraction form
    981.94/1,471.59 = 591.46/x
  3. Step 3: Cross multiply
    981.94x = 1,471.59 × 591.46
  4. Step 4: Simplify right side
    981.94x = 870,386.62
  5. Step 5: Solve for x
    x = 870,386.62/981.94
  6. Step 6: Final answer
    x = 886.39

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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.