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Finding the Fourth Proportional to 872.85, 1,204.71 and 558.03

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Solution

The fourth proportional to 872.85, 1,204.71 and 558.03 is: 770.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.85 : 1,204.71 = 558.03 : x
  2. Step 2: Convert to fraction form
    872.85/1,204.71 = 558.03/x
  3. Step 3: Cross multiply
    872.85x = 1,204.71 × 558.03
  4. Step 4: Simplify right side
    872.85x = 672,264.32
  5. Step 5: Solve for x
    x = 672,264.32/872.85
  6. Step 6: Final answer
    x = 770.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.