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Finding the Fourth Proportional to 452.52, 627.36 and 429.10

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Solution

The fourth proportional to 452.52, 627.36 and 429.10 is: 594.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.52 : 627.36 = 429.10 : x
  2. Step 2: Convert to fraction form
    452.52/627.36 = 429.10/x
  3. Step 3: Cross multiply
    452.52x = 627.36 × 429.10
  4. Step 4: Simplify right side
    452.52x = 269,200.18
  5. Step 5: Solve for x
    x = 269,200.18/452.52
  6. Step 6: Final answer
    x = 594.89

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.