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Finding the Fourth Proportional to 726.83, 1,002.78 and 412.06

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Solution

The fourth proportional to 726.83, 1,002.78 and 412.06 is: 568.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.83 : 1,002.78 = 412.06 : x
  2. Step 2: Convert to fraction form
    726.83/1,002.78 = 412.06/x
  3. Step 3: Cross multiply
    726.83x = 1,002.78 × 412.06
  4. Step 4: Simplify right side
    726.83x = 413,205.53
  5. Step 5: Solve for x
    x = 413,205.53/726.83
  6. Step 6: Final answer
    x = 568.50

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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.