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Finding the Fourth Proportional to 705.46, 1,062.33 and 615.22

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Solution

The fourth proportional to 705.46, 1,062.33 and 615.22 is: 926.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.46 : 1,062.33 = 615.22 : x
  2. Step 2: Convert to fraction form
    705.46/1,062.33 = 615.22/x
  3. Step 3: Cross multiply
    705.46x = 1,062.33 × 615.22
  4. Step 4: Simplify right side
    705.46x = 653,566.66
  5. Step 5: Solve for x
    x = 653,566.66/705.46
  6. Step 6: Final answer
    x = 926.44

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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.