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Finding the Fourth Proportional to 692.75, 956.30 and 460.01

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Solution

The fourth proportional to 692.75, 956.30 and 460.01 is: 635.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.75 : 956.30 = 460.01 : x
  2. Step 2: Convert to fraction form
    692.75/956.30 = 460.01/x
  3. Step 3: Cross multiply
    692.75x = 956.30 × 460.01
  4. Step 4: Simplify right side
    692.75x = 439,907.56
  5. Step 5: Solve for x
    x = 439,907.56/692.75
  6. Step 6: Final answer
    x = 635.02

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Double scale
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1.5x scale

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.