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Finding the Fourth Proportional to 861.39, 1,186.29 and 858.69

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Solution

The fourth proportional to 861.39, 1,186.29 and 858.69 is: 1,182.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.39 : 1,186.29 = 858.69 : x
  2. Step 2: Convert to fraction form
    861.39/1,186.29 = 858.69/x
  3. Step 3: Cross multiply
    861.39x = 1,186.29 × 858.69
  4. Step 4: Simplify right side
    861.39x = 1,018,655.36
  5. Step 5: Solve for x
    x = 1,018,655.36/861.39
  6. Step 6: Final answer
    x = 1,182.57

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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.