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Finding the Fourth Proportional to 452.66, 679.15 and 342.82

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Solution

The fourth proportional to 452.66, 679.15 and 342.82 is: 514.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.66 : 679.15 = 342.82 : x
  2. Step 2: Convert to fraction form
    452.66/679.15 = 342.82/x
  3. Step 3: Cross multiply
    452.66x = 679.15 × 342.82
  4. Step 4: Simplify right side
    452.66x = 232,826.20
  5. Step 5: Solve for x
    x = 232,826.20/452.66
  6. Step 6: Final answer
    x = 514.35

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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.