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Finding the Fourth Proportional to 981.28, 1,470.86 and 356.16

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Solution

The fourth proportional to 981.28, 1,470.86 and 356.16 is: 533.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.28 : 1,470.86 = 356.16 : x
  2. Step 2: Convert to fraction form
    981.28/1,470.86 = 356.16/x
  3. Step 3: Cross multiply
    981.28x = 1,470.86 × 356.16
  4. Step 4: Simplify right side
    981.28x = 523,861.50
  5. Step 5: Solve for x
    x = 523,861.50/981.28
  6. Step 6: Final answer
    x = 533.86

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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.