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Finding the Fourth Proportional to 861.92, 1,189.38 and 600.50

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Solution

The fourth proportional to 861.92, 1,189.38 and 600.50 is: 828.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.92 : 1,189.38 = 600.50 : x
  2. Step 2: Convert to fraction form
    861.92/1,189.38 = 600.50/x
  3. Step 3: Cross multiply
    861.92x = 1,189.38 × 600.50
  4. Step 4: Simplify right side
    861.92x = 714,222.69
  5. Step 5: Solve for x
    x = 714,222.69/861.92
  6. Step 6: Final answer
    x = 828.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.