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Finding the Fourth Proportional to 452.60, 625.02 and 297.80

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Solution

The fourth proportional to 452.60, 625.02 and 297.80 is: 411.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.60 : 625.02 = 297.80 : x
  2. Step 2: Convert to fraction form
    452.60/625.02 = 297.80/x
  3. Step 3: Cross multiply
    452.60x = 625.02 × 297.80
  4. Step 4: Simplify right side
    452.60x = 186,130.96
  5. Step 5: Solve for x
    x = 186,130.96/452.60
  6. Step 6: Final answer
    x = 411.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.