Home / 1,132.19-1,698.27-310.46

Finding the Fourth Proportional to 1,132.19, 1,698.27 and 310.46

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Solution

The fourth proportional to 1,132.19, 1,698.27 and 310.46 is: 465.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.19 : 1,698.27 = 310.46 : x
  2. Step 2: Convert to fraction form
    1,132.19/1,698.27 = 310.46/x
  3. Step 3: Cross multiply
    1,132.19x = 1,698.27 × 310.46
  4. Step 4: Simplify right side
    1,132.19x = 527,244.90
  5. Step 5: Solve for x
    x = 527,244.90/1,132.19
  6. Step 6: Final answer
    x = 465.69

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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.