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Finding the Fourth Proportional to 509.19, 764.16 and 411.91

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Solution

The fourth proportional to 509.19, 764.16 and 411.91 is: 618.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.19 : 764.16 = 411.91 : x
  2. Step 2: Convert to fraction form
    509.19/764.16 = 411.91/x
  3. Step 3: Cross multiply
    509.19x = 764.16 × 411.91
  4. Step 4: Simplify right side
    509.19x = 314,765.15
  5. Step 5: Solve for x
    x = 314,765.15/509.19
  6. Step 6: Final answer
    x = 618.17

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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.