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Finding the Fourth Proportional to 781.38, 1,078.18 and 482.54

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Solution

The fourth proportional to 781.38, 1,078.18 and 482.54 is: 665.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.38 : 1,078.18 = 482.54 : x
  2. Step 2: Convert to fraction form
    781.38/1,078.18 = 482.54/x
  3. Step 3: Cross multiply
    781.38x = 1,078.18 × 482.54
  4. Step 4: Simplify right side
    781.38x = 520,258.38
  5. Step 5: Solve for x
    x = 520,258.38/781.38
  6. Step 6: Final answer
    x = 665.82

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1.5x scale

Why These Related Problems?

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