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Finding the Fourth Proportional to 457.71, 626.18 and 455.75

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Solution

The fourth proportional to 457.71, 626.18 and 455.75 is: 623.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.71 : 626.18 = 455.75 : x
  2. Step 2: Convert to fraction form
    457.71/626.18 = 455.75/x
  3. Step 3: Cross multiply
    457.71x = 626.18 × 455.75
  4. Step 4: Simplify right side
    457.71x = 285,378.40
  5. Step 5: Solve for x
    x = 285,378.40/457.71
  6. Step 6: Final answer
    x = 623.50

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.