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Finding the Fourth Proportional to 576.02, 860.13 and 452.90

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Solution

The fourth proportional to 576.02, 860.13 and 452.90 is: 676.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.02 : 860.13 = 452.90 : x
  2. Step 2: Convert to fraction form
    576.02/860.13 = 452.90/x
  3. Step 3: Cross multiply
    576.02x = 860.13 × 452.90
  4. Step 4: Simplify right side
    576.02x = 389,550.61
  5. Step 5: Solve for x
    x = 389,550.61/576.02
  6. Step 6: Final answer
    x = 676.28

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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.