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Finding the Fourth Proportional to 1,187.12, 1,778.92 and 795.76

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Solution

The fourth proportional to 1,187.12, 1,778.92 and 795.76 is: 1,192.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.12 : 1,778.92 = 795.76 : x
  2. Step 2: Convert to fraction form
    1,187.12/1,778.92 = 795.76/x
  3. Step 3: Cross multiply
    1,187.12x = 1,778.92 × 795.76
  4. Step 4: Simplify right side
    1,187.12x = 1,415,593.38
  5. Step 5: Solve for x
    x = 1,415,593.38/1,187.12
  6. Step 6: Final answer
    x = 1,192.46

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1.5x scale

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.