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Finding the Fourth Proportional to 511.32, 766.17 and 430.32

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Solution

The fourth proportional to 511.32, 766.17 and 430.32 is: 644.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.32 : 766.17 = 430.32 : x
  2. Step 2: Convert to fraction form
    511.32/766.17 = 430.32/x
  3. Step 3: Cross multiply
    511.32x = 766.17 × 430.32
  4. Step 4: Simplify right side
    511.32x = 329,698.27
  5. Step 5: Solve for x
    x = 329,698.27/511.32
  6. Step 6: Final answer
    x = 644.80

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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.