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Finding the Fourth Proportional to 675.12, 1,008.23 and 576.57

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Solution

The fourth proportional to 675.12, 1,008.23 and 576.57 is: 861.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.12 : 1,008.23 = 576.57 : x
  2. Step 2: Convert to fraction form
    675.12/1,008.23 = 576.57/x
  3. Step 3: Cross multiply
    675.12x = 1,008.23 × 576.57
  4. Step 4: Simplify right side
    675.12x = 581,312.29
  5. Step 5: Solve for x
    x = 581,312.29/675.12
  6. Step 6: Final answer
    x = 861.05

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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.