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Finding the Fourth Proportional to 677.62, 935.85 and 457.48

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Solution

The fourth proportional to 677.62, 935.85 and 457.48 is: 631.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.62 : 935.85 = 457.48 : x
  2. Step 2: Convert to fraction form
    677.62/935.85 = 457.48/x
  3. Step 3: Cross multiply
    677.62x = 935.85 × 457.48
  4. Step 4: Simplify right side
    677.62x = 428,132.66
  5. Step 5: Solve for x
    x = 428,132.66/677.62
  6. Step 6: Final answer
    x = 631.82

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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.