Home / 728.18-1,092.14-338.16

Finding the Fourth Proportional to 728.18, 1,092.14 and 338.16

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Solution

The fourth proportional to 728.18, 1,092.14 and 338.16 is: 507.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.18 : 1,092.14 = 338.16 : x
  2. Step 2: Convert to fraction form
    728.18/1,092.14 = 338.16/x
  3. Step 3: Cross multiply
    728.18x = 1,092.14 × 338.16
  4. Step 4: Simplify right side
    728.18x = 369,318.91
  5. Step 5: Solve for x
    x = 369,318.91/728.18
  6. Step 6: Final answer
    x = 507.18

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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.