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Finding the Fourth Proportional to 452.45, 675.62 and 426.82

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Solution

The fourth proportional to 452.45, 675.62 and 426.82 is: 637.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.45 : 675.62 = 426.82 : x
  2. Step 2: Convert to fraction form
    452.45/675.62 = 426.82/x
  3. Step 3: Cross multiply
    452.45x = 675.62 × 426.82
  4. Step 4: Simplify right side
    452.45x = 288,368.13
  5. Step 5: Solve for x
    x = 288,368.13/452.45
  6. Step 6: Final answer
    x = 637.35

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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.