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Finding the Fourth Proportional to 711.53, 1,065.77 and 692.09

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Solution

The fourth proportional to 711.53, 1,065.77 and 692.09 is: 1,036.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.53 : 1,065.77 = 692.09 : x
  2. Step 2: Convert to fraction form
    711.53/1,065.77 = 692.09/x
  3. Step 3: Cross multiply
    711.53x = 1,065.77 × 692.09
  4. Step 4: Simplify right side
    711.53x = 737,599.97
  5. Step 5: Solve for x
    x = 737,599.97/711.53
  6. Step 6: Final answer
    x = 1,036.65

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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.