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Finding the Fourth Proportional to 602.41, 832.30 and 454.79

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Solution

The fourth proportional to 602.41, 832.30 and 454.79 is: 628.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.41 : 832.30 = 454.79 : x
  2. Step 2: Convert to fraction form
    602.41/832.30 = 454.79/x
  3. Step 3: Cross multiply
    602.41x = 832.30 × 454.79
  4. Step 4: Simplify right side
    602.41x = 378,521.72
  5. Step 5: Solve for x
    x = 378,521.72/602.41
  6. Step 6: Final answer
    x = 628.35

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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.