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Finding the Fourth Proportional to 424.49, 583.86 and 341.42

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Solution

The fourth proportional to 424.49, 583.86 and 341.42 is: 469.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.49 : 583.86 = 341.42 : x
  2. Step 2: Convert to fraction form
    424.49/583.86 = 341.42/x
  3. Step 3: Cross multiply
    424.49x = 583.86 × 341.42
  4. Step 4: Simplify right side
    424.49x = 199,337.92
  5. Step 5: Solve for x
    x = 199,337.92/424.49
  6. Step 6: Final answer
    x = 469.59

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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.