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Finding the Fourth Proportional to 426.69, 637.10 and 382.47

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Solution

The fourth proportional to 426.69, 637.10 and 382.47 is: 571.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.69 : 637.10 = 382.47 : x
  2. Step 2: Convert to fraction form
    426.69/637.10 = 382.47/x
  3. Step 3: Cross multiply
    426.69x = 637.10 × 382.47
  4. Step 4: Simplify right side
    426.69x = 243,671.64
  5. Step 5: Solve for x
    x = 243,671.64/426.69
  6. Step 6: Final answer
    x = 571.07

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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.