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Finding the Fourth Proportional to 452.66, 625.12 and 390.14

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Solution

The fourth proportional to 452.66, 625.12 and 390.14 is: 538.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.66 : 625.12 = 390.14 : x
  2. Step 2: Convert to fraction form
    452.66/625.12 = 390.14/x
  3. Step 3: Cross multiply
    452.66x = 625.12 × 390.14
  4. Step 4: Simplify right side
    452.66x = 243,882.56
  5. Step 5: Solve for x
    x = 243,882.56/452.66
  6. Step 6: Final answer
    x = 538.78

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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.