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Finding the Fourth Proportional to 1,132.40, 1,698.20 and 612.79

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Solution

The fourth proportional to 1,132.40, 1,698.20 and 612.79 is: 918.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.40 : 1,698.20 = 612.79 : x
  2. Step 2: Convert to fraction form
    1,132.40/1,698.20 = 612.79/x
  3. Step 3: Cross multiply
    1,132.40x = 1,698.20 × 612.79
  4. Step 4: Simplify right side
    1,132.40x = 1,040,634.97
  5. Step 5: Solve for x
    x = 1,040,634.97/1,132.40
  6. Step 6: Final answer
    x = 918.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.