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Finding the Fourth Proportional to 462.64, 692.61 and 400.75

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Solution

The fourth proportional to 462.64, 692.61 and 400.75 is: 599.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.64 : 692.61 = 400.75 : x
  2. Step 2: Convert to fraction form
    462.64/692.61 = 400.75/x
  3. Step 3: Cross multiply
    462.64x = 692.61 × 400.75
  4. Step 4: Simplify right side
    462.64x = 277,563.46
  5. Step 5: Solve for x
    x = 277,563.46/462.64
  6. Step 6: Final answer
    x = 599.96

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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.