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Finding the Fourth Proportional to 726.69, 1,002.39 and 446.83

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Solution

The fourth proportional to 726.69, 1,002.39 and 446.83 is: 616.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.69 : 1,002.39 = 446.83 : x
  2. Step 2: Convert to fraction form
    726.69/1,002.39 = 446.83/x
  3. Step 3: Cross multiply
    726.69x = 1,002.39 × 446.83
  4. Step 4: Simplify right side
    726.69x = 447,893.74
  5. Step 5: Solve for x
    x = 447,893.74/726.69
  6. Step 6: Final answer
    x = 616.34

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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.