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Finding the Fourth Proportional to 477.53, 658.91 and 320.39

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Solution

The fourth proportional to 477.53, 658.91 and 320.39 is: 442.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.53 : 658.91 = 320.39 : x
  2. Step 2: Convert to fraction form
    477.53/658.91 = 320.39/x
  3. Step 3: Cross multiply
    477.53x = 658.91 × 320.39
  4. Step 4: Simplify right side
    477.53x = 211,106.57
  5. Step 5: Solve for x
    x = 211,106.57/477.53
  6. Step 6: Final answer
    x = 442.08

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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.