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Finding the Fourth Proportional to 711.09, 1,065.22 and 565.09

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Solution

The fourth proportional to 711.09, 1,065.22 and 565.09 is: 846.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.09 : 1,065.22 = 565.09 : x
  2. Step 2: Convert to fraction form
    711.09/1,065.22 = 565.09/x
  3. Step 3: Cross multiply
    711.09x = 1,065.22 × 565.09
  4. Step 4: Simplify right side
    711.09x = 601,943.76
  5. Step 5: Solve for x
    x = 601,943.76/711.09
  6. Step 6: Final answer
    x = 846.51

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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.