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Finding the Fourth Proportional to 877.10, 1,308.24 and 826.34

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Solution

The fourth proportional to 877.10, 1,308.24 and 826.34 is: 1,232.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.10 : 1,308.24 = 826.34 : x
  2. Step 2: Convert to fraction form
    877.10/1,308.24 = 826.34/x
  3. Step 3: Cross multiply
    877.10x = 1,308.24 × 826.34
  4. Step 4: Simplify right side
    877.10x = 1,081,044.50
  5. Step 5: Solve for x
    x = 1,081,044.50/877.10
  6. Step 6: Final answer
    x = 1,232.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.