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Finding the Fourth Proportional to 692.74, 953.94 and 517.78

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Solution

The fourth proportional to 692.74, 953.94 and 517.78 is: 713.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.74 : 953.94 = 517.78 : x
  2. Step 2: Convert to fraction form
    692.74/953.94 = 517.78/x
  3. Step 3: Cross multiply
    692.74x = 953.94 × 517.78
  4. Step 4: Simplify right side
    692.74x = 493,931.05
  5. Step 5: Solve for x
    x = 493,931.05/692.74
  6. Step 6: Final answer
    x = 713.01

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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.