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Finding the Fourth Proportional to 981.07, 1,470.69 and 487.18

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Solution

The fourth proportional to 981.07, 1,470.69 and 487.18 is: 730.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.07 : 1,470.69 = 487.18 : x
  2. Step 2: Convert to fraction form
    981.07/1,470.69 = 487.18/x
  3. Step 3: Cross multiply
    981.07x = 1,470.69 × 487.18
  4. Step 4: Simplify right side
    981.07x = 716,490.75
  5. Step 5: Solve for x
    x = 716,490.75/981.07
  6. Step 6: Final answer
    x = 730.32

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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.