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Finding the Fourth Proportional to 602.93, 832.32 and 381.80

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Solution

The fourth proportional to 602.93, 832.32 and 381.80 is: 527.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.93 : 832.32 = 381.80 : x
  2. Step 2: Convert to fraction form
    602.93/832.32 = 381.80/x
  3. Step 3: Cross multiply
    602.93x = 832.32 × 381.80
  4. Step 4: Simplify right side
    602.93x = 317,775.61
  5. Step 5: Solve for x
    x = 317,775.61/602.93
  6. Step 6: Final answer
    x = 527.06

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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.