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Finding the Fourth Proportional to 426.70, 637.18 and 424.14

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Solution

The fourth proportional to 426.70, 637.18 and 424.14 is: 633.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.70 : 637.18 = 424.14 : x
  2. Step 2: Convert to fraction form
    426.70/637.18 = 424.14/x
  3. Step 3: Cross multiply
    426.70x = 637.18 × 424.14
  4. Step 4: Simplify right side
    426.70x = 270,253.53
  5. Step 5: Solve for x
    x = 270,253.53/426.70
  6. Step 6: Final answer
    x = 633.36

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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.