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Finding the Fourth Proportional to 459, 692.69 and 456.17

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Solution

The fourth proportional to 459, 692.69 and 456.17 is: 688.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    459 : 692.69 = 456.17 : x
  2. Step 2: Convert to fraction form
    459/692.69 = 456.17/x
  3. Step 3: Cross multiply
    459x = 692.69 × 456.17
  4. Step 4: Simplify right side
    459x = 315,978.65
  5. Step 5: Solve for x
    x = 315,978.65/459
  6. Step 6: Final answer
    x = 688.41

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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.