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Finding the Fourth Proportional to 845.17, 1,275.32 and 811.46

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Solution

The fourth proportional to 845.17, 1,275.32 and 811.46 is: 1,224.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.17 : 1,275.32 = 811.46 : x
  2. Step 2: Convert to fraction form
    845.17/1,275.32 = 811.46/x
  3. Step 3: Cross multiply
    845.17x = 1,275.32 × 811.46
  4. Step 4: Simplify right side
    845.17x = 1,034,876.38
  5. Step 5: Solve for x
    x = 1,034,876.38/845.17
  6. Step 6: Final answer
    x = 1,224.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.