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Finding the Fourth Proportional to 457.98, 687.69 and 455.82

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Solution

The fourth proportional to 457.98, 687.69 and 455.82 is: 684.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.98 : 687.69 = 455.82 : x
  2. Step 2: Convert to fraction form
    457.98/687.69 = 455.82/x
  3. Step 3: Cross multiply
    457.98x = 687.69 × 455.82
  4. Step 4: Simplify right side
    457.98x = 313,462.86
  5. Step 5: Solve for x
    x = 313,462.86/457.98
  6. Step 6: Final answer
    x = 684.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.