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Finding the Fourth Proportional to 692.21, 955.18 and 561.53

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Solution

The fourth proportional to 692.21, 955.18 and 561.53 is: 774.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.21 : 955.18 = 561.53 : x
  2. Step 2: Convert to fraction form
    692.21/955.18 = 561.53/x
  3. Step 3: Cross multiply
    692.21x = 955.18 × 561.53
  4. Step 4: Simplify right side
    692.21x = 536,362.23
  5. Step 5: Solve for x
    x = 536,362.23/692.21
  6. Step 6: Final answer
    x = 774.85

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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.