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Finding the Fourth Proportional to 810.26, 1,117.90 and 460.88

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Solution

The fourth proportional to 810.26, 1,117.90 and 460.88 is: 635.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.26 : 1,117.90 = 460.88 : x
  2. Step 2: Convert to fraction form
    810.26/1,117.90 = 460.88/x
  3. Step 3: Cross multiply
    810.26x = 1,117.90 × 460.88
  4. Step 4: Simplify right side
    810.26x = 515,217.75
  5. Step 5: Solve for x
    x = 515,217.75/810.26
  6. Step 6: Final answer
    x = 635.87

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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.