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Finding the Fourth Proportional to 692.87, 955.28 and 567.05

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Solution

The fourth proportional to 692.87, 955.28 and 567.05 is: 781.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.87 : 955.28 = 567.05 : x
  2. Step 2: Convert to fraction form
    692.87/955.28 = 567.05/x
  3. Step 3: Cross multiply
    692.87x = 955.28 × 567.05
  4. Step 4: Simplify right side
    692.87x = 541,688.69
  5. Step 5: Solve for x
    x = 541,688.69/692.87
  6. Step 6: Final answer
    x = 781.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.