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Finding the Fourth Proportional to 910.62, 1,254.36 and 724.71

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Solution

The fourth proportional to 910.62, 1,254.36 and 724.71 is: 998.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.62 : 1,254.36 = 724.71 : x
  2. Step 2: Convert to fraction form
    910.62/1,254.36 = 724.71/x
  3. Step 3: Cross multiply
    910.62x = 1,254.36 × 724.71
  4. Step 4: Simplify right side
    910.62x = 909,047.24
  5. Step 5: Solve for x
    x = 909,047.24/910.62
  6. Step 6: Final answer
    x = 998.27

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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.