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Finding the Fourth Proportional to 692.21, 955.71 and 648.13

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Solution

The fourth proportional to 692.21, 955.71 and 648.13 is: 894.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.21 : 955.71 = 648.13 : x
  2. Step 2: Convert to fraction form
    692.21/955.71 = 648.13/x
  3. Step 3: Cross multiply
    692.21x = 955.71 × 648.13
  4. Step 4: Simplify right side
    692.21x = 619,424.32
  5. Step 5: Solve for x
    x = 619,424.32/692.21
  6. Step 6: Final answer
    x = 894.85

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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.