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Finding the Fourth Proportional to 726.67, 1,003.89 and 569.98

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Solution

The fourth proportional to 726.67, 1,003.89 and 569.98 is: 787.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.67 : 1,003.89 = 569.98 : x
  2. Step 2: Convert to fraction form
    726.67/1,003.89 = 569.98/x
  3. Step 3: Cross multiply
    726.67x = 1,003.89 × 569.98
  4. Step 4: Simplify right side
    726.67x = 572,197.22
  5. Step 5: Solve for x
    x = 572,197.22/726.67
  6. Step 6: Final answer
    x = 787.42

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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.