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Finding the Fourth Proportional to 927.18, 1,279.50 and 507.52

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Solution

The fourth proportional to 927.18, 1,279.50 and 507.52 is: 700.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.18 : 1,279.50 = 507.52 : x
  2. Step 2: Convert to fraction form
    927.18/1,279.50 = 507.52/x
  3. Step 3: Cross multiply
    927.18x = 1,279.50 × 507.52
  4. Step 4: Simplify right side
    927.18x = 649,371.84
  5. Step 5: Solve for x
    x = 649,371.84/927.18
  6. Step 6: Final answer
    x = 700.37

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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.