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Finding the Fourth Proportional to 711, 1,065.78 and 300.36

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Solution

The fourth proportional to 711, 1,065.78 and 300.36 is: 450.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    711 : 1,065.78 = 300.36 : x
  2. Step 2: Convert to fraction form
    711/1,065.78 = 300.36/x
  3. Step 3: Cross multiply
    711x = 1,065.78 × 300.36
  4. Step 4: Simplify right side
    711x = 320,117.68
  5. Step 5: Solve for x
    x = 320,117.68/711
  6. Step 6: Final answer
    x = 450.24

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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.