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Finding the Fourth Proportional to 981.60, 1,471.92 and 570.86

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Solution

The fourth proportional to 981.60, 1,471.92 and 570.86 is: 856.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.60 : 1,471.92 = 570.86 : x
  2. Step 2: Convert to fraction form
    981.60/1,471.92 = 570.86/x
  3. Step 3: Cross multiply
    981.60x = 1,471.92 × 570.86
  4. Step 4: Simplify right side
    981.60x = 840,260.25
  5. Step 5: Solve for x
    x = 840,260.25/981.60
  6. Step 6: Final answer
    x = 856.01

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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.