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Finding the Fourth Proportional to 1,132.60, 1,697.22 and 1,009.48

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Solution

The fourth proportional to 1,132.60, 1,697.22 and 1,009.48 is: 1,512.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.60 : 1,697.22 = 1,009.48 : x
  2. Step 2: Convert to fraction form
    1,132.60/1,697.22 = 1,009.48/x
  3. Step 3: Cross multiply
    1,132.60x = 1,697.22 × 1,009.48
  4. Step 4: Simplify right side
    1,132.60x = 1,713,309.65
  5. Step 5: Solve for x
    x = 1,713,309.65/1,132.60
  6. Step 6: Final answer
    x = 1,512.72

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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.