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Finding the Fourth Proportional to 457.98, 630.47 and 396.66

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Solution

The fourth proportional to 457.98, 630.47 and 396.66 is: 546.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.98 : 630.47 = 396.66 : x
  2. Step 2: Convert to fraction form
    457.98/630.47 = 396.66/x
  3. Step 3: Cross multiply
    457.98x = 630.47 × 396.66
  4. Step 4: Simplify right side
    457.98x = 250,082.23
  5. Step 5: Solve for x
    x = 250,082.23/457.98
  6. Step 6: Final answer
    x = 546.05

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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.