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Finding the Fourth Proportional to 511.48, 766.26 and 283

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Solution

The fourth proportional to 511.48, 766.26 and 283 is: 423.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.48 : 766.26 = 283 : x
  2. Step 2: Convert to fraction form
    511.48/766.26 = 283/x
  3. Step 3: Cross multiply
    511.48x = 766.26 × 283
  4. Step 4: Simplify right side
    511.48x = 216,851.58
  5. Step 5: Solve for x
    x = 216,851.58/511.48
  6. Step 6: Final answer
    x = 423.97

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