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Finding the Fourth Proportional to 511.65, 762.44 and 488.86

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Solution

The fourth proportional to 511.65, 762.44 and 488.86 is: 728.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.65 : 762.44 = 488.86 : x
  2. Step 2: Convert to fraction form
    511.65/762.44 = 488.86/x
  3. Step 3: Cross multiply
    511.65x = 762.44 × 488.86
  4. Step 4: Simplify right side
    511.65x = 372,722.07
  5. Step 5: Solve for x
    x = 372,722.07/511.65
  6. Step 6: Final answer
    x = 728.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.