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Finding the Fourth Proportional to 452.30, 677.10 and 425.60

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Solution

The fourth proportional to 452.30, 677.10 and 425.60 is: 637.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.30 : 677.10 = 425.60 : x
  2. Step 2: Convert to fraction form
    452.30/677.10 = 425.60/x
  3. Step 3: Cross multiply
    452.30x = 677.10 × 425.60
  4. Step 4: Simplify right side
    452.30x = 288,173.76
  5. Step 5: Solve for x
    x = 288,173.76/452.30
  6. Step 6: Final answer
    x = 637.13

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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.