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Finding the Fourth Proportional to 781.91, 1,170.02 and 692.00

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Solution

The fourth proportional to 781.91, 1,170.02 and 692.00 is: 1,035.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.91 : 1,170.02 = 692.00 : x
  2. Step 2: Convert to fraction form
    781.91/1,170.02 = 692.00/x
  3. Step 3: Cross multiply
    781.91x = 1,170.02 × 692.00
  4. Step 4: Simplify right side
    781.91x = 809,649.72
  5. Step 5: Solve for x
    x = 809,649.72/781.91
  6. Step 6: Final answer
    x = 1,035.48

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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.