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Finding the Fourth Proportional to 981.46, 1,470.84 and 494.84

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Solution

The fourth proportional to 981.46, 1,470.84 and 494.84 is: 741.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.46 : 1,470.84 = 494.84 : x
  2. Step 2: Convert to fraction form
    981.46/1,470.84 = 494.84/x
  3. Step 3: Cross multiply
    981.46x = 1,470.84 × 494.84
  4. Step 4: Simplify right side
    981.46x = 727,830.47
  5. Step 5: Solve for x
    x = 727,830.47/981.46
  6. Step 6: Final answer
    x = 741.58

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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.