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Finding the Fourth Proportional to 763.80, 1,146.42 and 398.85

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Solution

The fourth proportional to 763.80, 1,146.42 and 398.85 is: 598.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.80 : 1,146.42 = 398.85 : x
  2. Step 2: Convert to fraction form
    763.80/1,146.42 = 398.85/x
  3. Step 3: Cross multiply
    763.80x = 1,146.42 × 398.85
  4. Step 4: Simplify right side
    763.80x = 457,249.62
  5. Step 5: Solve for x
    x = 457,249.62/763.80
  6. Step 6: Final answer
    x = 598.65

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1.5x scale

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.