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Finding the Fourth Proportional to 443.68, 610.68 and 424.24

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Solution

The fourth proportional to 443.68, 610.68 and 424.24 is: 583.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.68 : 610.68 = 424.24 : x
  2. Step 2: Convert to fraction form
    443.68/610.68 = 424.24/x
  3. Step 3: Cross multiply
    443.68x = 610.68 × 424.24
  4. Step 4: Simplify right side
    443.68x = 259,074.88
  5. Step 5: Solve for x
    x = 259,074.88/443.68
  6. Step 6: Final answer
    x = 583.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.