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Finding the Fourth Proportional to 875.34, 1,312.92 and 226.05

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Solution

The fourth proportional to 875.34, 1,312.92 and 226.05 is: 339.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.34 : 1,312.92 = 226.05 : x
  2. Step 2: Convert to fraction form
    875.34/1,312.92 = 226.05/x
  3. Step 3: Cross multiply
    875.34x = 1,312.92 × 226.05
  4. Step 4: Simplify right side
    875.34x = 296,785.57
  5. Step 5: Solve for x
    x = 296,785.57/875.34
  6. Step 6: Final answer
    x = 339.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.