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Finding the Fourth Proportional to 691.23, 1,036.84 and 600.11

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Solution

The fourth proportional to 691.23, 1,036.84 and 600.11 is: 900.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.23 : 1,036.84 = 600.11 : x
  2. Step 2: Convert to fraction form
    691.23/1,036.84 = 600.11/x
  3. Step 3: Cross multiply
    691.23x = 1,036.84 × 600.11
  4. Step 4: Simplify right side
    691.23x = 622,212.87
  5. Step 5: Solve for x
    x = 622,212.87/691.23
  6. Step 6: Final answer
    x = 900.15

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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.