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Finding the Fourth Proportional to 861.55, 1,290.90 and 450.07

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Solution

The fourth proportional to 861.55, 1,290.90 and 450.07 is: 674.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.55 : 1,290.90 = 450.07 : x
  2. Step 2: Convert to fraction form
    861.55/1,290.90 = 450.07/x
  3. Step 3: Cross multiply
    861.55x = 1,290.90 × 450.07
  4. Step 4: Simplify right side
    861.55x = 580,995.36
  5. Step 5: Solve for x
    x = 580,995.36/861.55
  6. Step 6: Final answer
    x = 674.36

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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.