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Finding the Fourth Proportional to 457.54, 682.98 and 423.70

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Solution

The fourth proportional to 457.54, 682.98 and 423.70 is: 632.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.54 : 682.98 = 423.70 : x
  2. Step 2: Convert to fraction form
    457.54/682.98 = 423.70/x
  3. Step 3: Cross multiply
    457.54x = 682.98 × 423.70
  4. Step 4: Simplify right side
    457.54x = 289,378.63
  5. Step 5: Solve for x
    x = 289,378.63/457.54
  6. Step 6: Final answer
    x = 632.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.