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Finding the Fourth Proportional to 462.16, 637.80 and 314.69

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Solution

The fourth proportional to 462.16, 637.80 and 314.69 is: 434.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.16 : 637.80 = 314.69 : x
  2. Step 2: Convert to fraction form
    462.16/637.80 = 314.69/x
  3. Step 3: Cross multiply
    462.16x = 637.80 × 314.69
  4. Step 4: Simplify right side
    462.16x = 200,705.80
  5. Step 5: Solve for x
    x = 200,705.80/462.16
  6. Step 6: Final answer
    x = 434.28

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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.