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Finding the Fourth Proportional to 910.34, 1,256.11 and 517.29

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Solution

The fourth proportional to 910.34, 1,256.11 and 517.29 is: 713.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.34 : 1,256.11 = 517.29 : x
  2. Step 2: Convert to fraction form
    910.34/1,256.11 = 517.29/x
  3. Step 3: Cross multiply
    910.34x = 1,256.11 × 517.29
  4. Step 4: Simplify right side
    910.34x = 649,767.14
  5. Step 5: Solve for x
    x = 649,767.14/910.34
  6. Step 6: Final answer
    x = 713.76

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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.