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Finding the Fourth Proportional to 692.53, 1,036.73 and 417.78

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Solution

The fourth proportional to 692.53, 1,036.73 and 417.78 is: 625.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.53 : 1,036.73 = 417.78 : x
  2. Step 2: Convert to fraction form
    692.53/1,036.73 = 417.78/x
  3. Step 3: Cross multiply
    692.53x = 1,036.73 × 417.78
  4. Step 4: Simplify right side
    692.53x = 433,126.10
  5. Step 5: Solve for x
    x = 433,126.10/692.53
  6. Step 6: Final answer
    x = 625.43

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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.