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Finding the Fourth Proportional to 458.78, 684.84 and 424.49

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Solution

The fourth proportional to 458.78, 684.84 and 424.49 is: 633.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.78 : 684.84 = 424.49 : x
  2. Step 2: Convert to fraction form
    458.78/684.84 = 424.49/x
  3. Step 3: Cross multiply
    458.78x = 684.84 × 424.49
  4. Step 4: Simplify right side
    458.78x = 290,707.73
  5. Step 5: Solve for x
    x = 290,707.73/458.78
  6. Step 6: Final answer
    x = 633.65

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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.