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Finding the Fourth Proportional to 511.65, 766.70 and 381.04

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Solution

The fourth proportional to 511.65, 766.70 and 381.04 is: 570.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.65 : 766.70 = 381.04 : x
  2. Step 2: Convert to fraction form
    511.65/766.70 = 381.04/x
  3. Step 3: Cross multiply
    511.65x = 766.70 × 381.04
  4. Step 4: Simplify right side
    511.65x = 292,143.37
  5. Step 5: Solve for x
    x = 292,143.37/511.65
  6. Step 6: Final answer
    x = 570.98

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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.