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Finding the Fourth Proportional to 511.40, 766.23 and 434.30

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Solution

The fourth proportional to 511.40, 766.23 and 434.30 is: 650.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.40 : 766.23 = 434.30 : x
  2. Step 2: Convert to fraction form
    511.40/766.23 = 434.30/x
  3. Step 3: Cross multiply
    511.40x = 766.23 × 434.30
  4. Step 4: Simplify right side
    511.40x = 332,773.69
  5. Step 5: Solve for x
    x = 332,773.69/511.40
  6. Step 6: Final answer
    x = 650.71

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1.5x scale

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.