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Finding the Fourth Proportional to 407.24, 606.55 and 402.44

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Solution

The fourth proportional to 407.24, 606.55 and 402.44 is: 599.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.24 : 606.55 = 402.44 : x
  2. Step 2: Convert to fraction form
    407.24/606.55 = 402.44/x
  3. Step 3: Cross multiply
    407.24x = 606.55 × 402.44
  4. Step 4: Simplify right side
    407.24x = 244,099.98
  5. Step 5: Solve for x
    x = 244,099.98/407.24
  6. Step 6: Final answer
    x = 599.40

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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.