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Finding the Fourth Proportional to 923.40, 1,271.19 and 726.57

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Solution

The fourth proportional to 923.40, 1,271.19 and 726.57 is: 1,000.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.40 : 1,271.19 = 726.57 : x
  2. Step 2: Convert to fraction form
    923.40/1,271.19 = 726.57/x
  3. Step 3: Cross multiply
    923.40x = 1,271.19 × 726.57
  4. Step 4: Simplify right side
    923.40x = 923,611.24
  5. Step 5: Solve for x
    x = 923,611.24/923.40
  6. Step 6: Final answer
    x = 1,000.23

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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.