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Finding the Fourth Proportional to 462.84, 638.56 and 297.04

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Solution

The fourth proportional to 462.84, 638.56 and 297.04 is: 409.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.84 : 638.56 = 297.04 : x
  2. Step 2: Convert to fraction form
    462.84/638.56 = 297.04/x
  3. Step 3: Cross multiply
    462.84x = 638.56 × 297.04
  4. Step 4: Simplify right side
    462.84x = 189,677.86
  5. Step 5: Solve for x
    x = 189,677.86/462.84
  6. Step 6: Final answer
    x = 409.81

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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.