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Finding the Fourth Proportional to 726.69, 1,002.95 and 412.09

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Solution

The fourth proportional to 726.69, 1,002.95 and 412.09 is: 568.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.69 : 1,002.95 = 412.09 : x
  2. Step 2: Convert to fraction form
    726.69/1,002.95 = 412.09/x
  3. Step 3: Cross multiply
    726.69x = 1,002.95 × 412.09
  4. Step 4: Simplify right side
    726.69x = 413,305.67
  5. Step 5: Solve for x
    x = 413,305.67/726.69
  6. Step 6: Final answer
    x = 568.75

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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.