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Finding the Fourth Proportional to 477.40, 658.74 and 322

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Solution

The fourth proportional to 477.40, 658.74 and 322 is: 444.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.40 : 658.74 = 322 : x
  2. Step 2: Convert to fraction form
    477.40/658.74 = 322/x
  3. Step 3: Cross multiply
    477.40x = 658.74 × 322
  4. Step 4: Simplify right side
    477.40x = 212,114.28
  5. Step 5: Solve for x
    x = 212,114.28/477.40
  6. Step 6: Final answer
    x = 444.31

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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.