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Finding the Fourth Proportional to 488.82, 734.91 and 387.36

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Solution

The fourth proportional to 488.82, 734.91 and 387.36 is: 582.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.82 : 734.91 = 387.36 : x
  2. Step 2: Convert to fraction form
    488.82/734.91 = 387.36/x
  3. Step 3: Cross multiply
    488.82x = 734.91 × 387.36
  4. Step 4: Simplify right side
    488.82x = 284,674.74
  5. Step 5: Solve for x
    x = 284,674.74/488.82
  6. Step 6: Final answer
    x = 582.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.