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Finding the Fourth Proportional to 926.47, 1,279.49 and 801.53

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Solution

The fourth proportional to 926.47, 1,279.49 and 801.53 is: 1,106.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.47 : 1,279.49 = 801.53 : x
  2. Step 2: Convert to fraction form
    926.47/1,279.49 = 801.53/x
  3. Step 3: Cross multiply
    926.47x = 1,279.49 × 801.53
  4. Step 4: Simplify right side
    926.47x = 1,025,549.62
  5. Step 5: Solve for x
    x = 1,025,549.62/926.47
  6. Step 6: Final answer
    x = 1,106.94

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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.