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Finding the Fourth Proportional to 910.66, 1,255.35 and 713.83

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Solution

The fourth proportional to 910.66, 1,255.35 and 713.83 is: 984.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.66 : 1,255.35 = 713.83 : x
  2. Step 2: Convert to fraction form
    910.66/1,255.35 = 713.83/x
  3. Step 3: Cross multiply
    910.66x = 1,255.35 × 713.83
  4. Step 4: Simplify right side
    910.66x = 896,106.49
  5. Step 5: Solve for x
    x = 896,106.49/910.66
  6. Step 6: Final answer
    x = 984.02

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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.