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Finding the Fourth Proportional to 1,051.15, 1,449.39 and 861.50

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Solution

The fourth proportional to 1,051.15, 1,449.39 and 861.50 is: 1,187.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.15 : 1,449.39 = 861.50 : x
  2. Step 2: Convert to fraction form
    1,051.15/1,449.39 = 861.50/x
  3. Step 3: Cross multiply
    1,051.15x = 1,449.39 × 861.50
  4. Step 4: Simplify right side
    1,051.15x = 1,248,649.49
  5. Step 5: Solve for x
    x = 1,248,649.49/1,051.15
  6. Step 6: Final answer
    x = 1,187.89

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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.