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Finding the Fourth Proportional to 452.49, 624.47 and 314.25

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Solution

The fourth proportional to 452.49, 624.47 and 314.25 is: 433.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.49 : 624.47 = 314.25 : x
  2. Step 2: Convert to fraction form
    452.49/624.47 = 314.25/x
  3. Step 3: Cross multiply
    452.49x = 624.47 × 314.25
  4. Step 4: Simplify right side
    452.49x = 196,238.13
  5. Step 5: Solve for x
    x = 196,238.13/452.49
  6. Step 6: Final answer
    x = 433.69

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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.