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Finding the Fourth Proportional to 487.45, 733.78 and 437.22

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Solution

The fourth proportional to 487.45, 733.78 and 437.22 is: 658.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.45 : 733.78 = 437.22 : x
  2. Step 2: Convert to fraction form
    487.45/733.78 = 437.22/x
  3. Step 3: Cross multiply
    487.45x = 733.78 × 437.22
  4. Step 4: Simplify right side
    487.45x = 320,823.29
  5. Step 5: Solve for x
    x = 320,823.29/487.45
  6. Step 6: Final answer
    x = 658.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.