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Finding the Fourth Proportional to 454.48, 677.90 and 424.24

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Solution

The fourth proportional to 454.48, 677.90 and 424.24 is: 632.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.48 : 677.90 = 424.24 : x
  2. Step 2: Convert to fraction form
    454.48/677.90 = 424.24/x
  3. Step 3: Cross multiply
    454.48x = 677.90 × 424.24
  4. Step 4: Simplify right side
    454.48x = 287,592.30
  5. Step 5: Solve for x
    x = 287,592.30/454.48
  6. Step 6: Final answer
    x = 632.79

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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.