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Finding the Fourth Proportional to 424.94, 586.85 and 379.10

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Solution

The fourth proportional to 424.94, 586.85 and 379.10 is: 523.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.94 : 586.85 = 379.10 : x
  2. Step 2: Convert to fraction form
    424.94/586.85 = 379.10/x
  3. Step 3: Cross multiply
    424.94x = 586.85 × 379.10
  4. Step 4: Simplify right side
    424.94x = 222,472.94
  5. Step 5: Solve for x
    x = 222,472.94/424.94
  6. Step 6: Final answer
    x = 523.54

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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.