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Finding the Fourth Proportional to 927.17, 1,279.43 and 507.50

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Solution

The fourth proportional to 927.17, 1,279.43 and 507.50 is: 700.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.17 : 1,279.43 = 507.50 : x
  2. Step 2: Convert to fraction form
    927.17/1,279.43 = 507.50/x
  3. Step 3: Cross multiply
    927.17x = 1,279.43 × 507.50
  4. Step 4: Simplify right side
    927.17x = 649,313.29
  5. Step 5: Solve for x
    x = 649,313.29/927.17
  6. Step 6: Final answer
    x = 700.32

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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.