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Finding the Fourth Proportional to 726.57, 1,083.98 and 639.09

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Solution

The fourth proportional to 726.57, 1,083.98 and 639.09 is: 953.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.57 : 1,083.98 = 639.09 : x
  2. Step 2: Convert to fraction form
    726.57/1,083.98 = 639.09/x
  3. Step 3: Cross multiply
    726.57x = 1,083.98 × 639.09
  4. Step 4: Simplify right side
    726.57x = 692,762.38
  5. Step 5: Solve for x
    x = 692,762.38/726.57
  6. Step 6: Final answer
    x = 953.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.