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Finding the Fourth Proportional to 1,581.86, 2,372.16 and 656.79

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Solution

The fourth proportional to 1,581.86, 2,372.16 and 656.79 is: 984.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.86 : 2,372.16 = 656.79 : x
  2. Step 2: Convert to fraction form
    1,581.86/2,372.16 = 656.79/x
  3. Step 3: Cross multiply
    1,581.86x = 2,372.16 × 656.79
  4. Step 4: Simplify right side
    1,581.86x = 1,558,010.97
  5. Step 5: Solve for x
    x = 1,558,010.97/1,581.86
  6. Step 6: Final answer
    x = 984.93

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1.5x scale

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.