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Finding the Fourth Proportional to 1,150.80, 1,587.30 and 1,112.70

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Solution

The fourth proportional to 1,150.80, 1,587.30 and 1,112.70 is: 1,534.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.80 : 1,587.30 = 1,112.70 : x
  2. Step 2: Convert to fraction form
    1,150.80/1,587.30 = 1,112.70/x
  3. Step 3: Cross multiply
    1,150.80x = 1,587.30 × 1,112.70
  4. Step 4: Simplify right side
    1,150.80x = 1,766,188.71
  5. Step 5: Solve for x
    x = 1,766,188.71/1,150.80
  6. Step 6: Final answer
    x = 1,534.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.