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Finding the Fourth Proportional to 861.01, 1,292.02 and 597.67

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Solution

The fourth proportional to 861.01, 1,292.02 and 597.67 is: 896.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.01 : 1,292.02 = 597.67 : x
  2. Step 2: Convert to fraction form
    861.01/1,292.02 = 597.67/x
  3. Step 3: Cross multiply
    861.01x = 1,292.02 × 597.67
  4. Step 4: Simplify right side
    861.01x = 772,195.13
  5. Step 5: Solve for x
    x = 772,195.13/861.01
  6. Step 6: Final answer
    x = 896.85

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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.