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Finding the Fourth Proportional to 511.24, 767.66 and 428.88

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Solution

The fourth proportional to 511.24, 767.66 and 428.88 is: 643.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.24 : 767.66 = 428.88 : x
  2. Step 2: Convert to fraction form
    511.24/767.66 = 428.88/x
  3. Step 3: Cross multiply
    511.24x = 767.66 × 428.88
  4. Step 4: Simplify right side
    511.24x = 329,234.02
  5. Step 5: Solve for x
    x = 329,234.02/511.24
  6. Step 6: Final answer
    x = 643.99

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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.