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Finding the Fourth Proportional to 457.53, 630.78 and 378.56

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Solution

The fourth proportional to 457.53, 630.78 and 378.56 is: 521.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.53 : 630.78 = 378.56 : x
  2. Step 2: Convert to fraction form
    457.53/630.78 = 378.56/x
  3. Step 3: Cross multiply
    457.53x = 630.78 × 378.56
  4. Step 4: Simplify right side
    457.53x = 238,784.92
  5. Step 5: Solve for x
    x = 238,784.92/457.53
  6. Step 6: Final answer
    x = 521.90

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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.