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Finding the Fourth Proportional to 459.39, 692.51 and 440.85

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Solution

The fourth proportional to 459.39, 692.51 and 440.85 is: 664.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.39 : 692.51 = 440.85 : x
  2. Step 2: Convert to fraction form
    459.39/692.51 = 440.85/x
  3. Step 3: Cross multiply
    459.39x = 692.51 × 440.85
  4. Step 4: Simplify right side
    459.39x = 305,294.14
  5. Step 5: Solve for x
    x = 305,294.14/459.39
  6. Step 6: Final answer
    x = 664.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.