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Finding the Fourth Proportional to 602.80, 832.08 and 381.84

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Solution

The fourth proportional to 602.80, 832.08 and 381.84 is: 527.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.80 : 832.08 = 381.84 : x
  2. Step 2: Convert to fraction form
    602.80/832.08 = 381.84/x
  3. Step 3: Cross multiply
    602.80x = 832.08 × 381.84
  4. Step 4: Simplify right side
    602.80x = 317,721.43
  5. Step 5: Solve for x
    x = 317,721.43/602.80
  6. Step 6: Final answer
    x = 527.08

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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.