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Finding the Fourth Proportional to 709.77, 983.28 and 692.76

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Solution

The fourth proportional to 709.77, 983.28 and 692.76 is: 959.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.77 : 983.28 = 692.76 : x
  2. Step 2: Convert to fraction form
    709.77/983.28 = 692.76/x
  3. Step 3: Cross multiply
    709.77x = 983.28 × 692.76
  4. Step 4: Simplify right side
    709.77x = 681,183.34
  5. Step 5: Solve for x
    x = 681,183.34/709.77
  6. Step 6: Final answer
    x = 959.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.