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Finding the Fourth Proportional to 459.34, 692.41 and 452.86

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Solution

The fourth proportional to 459.34, 692.41 and 452.86 is: 682.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.34 : 692.41 = 452.86 : x
  2. Step 2: Convert to fraction form
    459.34/692.41 = 452.86/x
  3. Step 3: Cross multiply
    459.34x = 692.41 × 452.86
  4. Step 4: Simplify right side
    459.34x = 313,564.79
  5. Step 5: Solve for x
    x = 313,564.79/459.34
  6. Step 6: Final answer
    x = 682.64

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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.