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Finding the Fourth Proportional to 999.11, 1,497.74 and 511.08

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Solution

The fourth proportional to 999.11, 1,497.74 and 511.08 is: 766.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.11 : 1,497.74 = 511.08 : x
  2. Step 2: Convert to fraction form
    999.11/1,497.74 = 511.08/x
  3. Step 3: Cross multiply
    999.11x = 1,497.74 × 511.08
  4. Step 4: Simplify right side
    999.11x = 765,462.40
  5. Step 5: Solve for x
    x = 765,462.40/999.11
  6. Step 6: Final answer
    x = 766.15

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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.