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Finding the Fourth Proportional to 913.16, 1,260.74 and 814.74

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Solution

The fourth proportional to 913.16, 1,260.74 and 814.74 is: 1,124.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.16 : 1,260.74 = 814.74 : x
  2. Step 2: Convert to fraction form
    913.16/1,260.74 = 814.74/x
  3. Step 3: Cross multiply
    913.16x = 1,260.74 × 814.74
  4. Step 4: Simplify right side
    913.16x = 1,027,177.34
  5. Step 5: Solve for x
    x = 1,027,177.34/913.16
  6. Step 6: Final answer
    x = 1,124.87

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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.