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Finding the Fourth Proportional to 927.01, 1,279.11 and 533.98

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Solution

The fourth proportional to 927.01, 1,279.11 and 533.98 is: 736.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.01 : 1,279.11 = 533.98 : x
  2. Step 2: Convert to fraction form
    927.01/1,279.11 = 533.98/x
  3. Step 3: Cross multiply
    927.01x = 1,279.11 × 533.98
  4. Step 4: Simplify right side
    927.01x = 683,019.16
  5. Step 5: Solve for x
    x = 683,019.16/927.01
  6. Step 6: Final answer
    x = 736.80

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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.