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Finding the Fourth Proportional to 457.11, 688.80 and 377.73

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Solution

The fourth proportional to 457.11, 688.80 and 377.73 is: 569.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.11 : 688.80 = 377.73 : x
  2. Step 2: Convert to fraction form
    457.11/688.80 = 377.73/x
  3. Step 3: Cross multiply
    457.11x = 688.80 × 377.73
  4. Step 4: Simplify right side
    457.11x = 260,180.42
  5. Step 5: Solve for x
    x = 260,180.42/457.11
  6. Step 6: Final answer
    x = 569.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.