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Finding the Fourth Proportional to 459.78, 689.04 and 297.17

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Solution

The fourth proportional to 459.78, 689.04 and 297.17 is: 445.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.78 : 689.04 = 297.17 : x
  2. Step 2: Convert to fraction form
    459.78/689.04 = 297.17/x
  3. Step 3: Cross multiply
    459.78x = 689.04 × 297.17
  4. Step 4: Simplify right side
    459.78x = 204,758.57
  5. Step 5: Solve for x
    x = 204,758.57/459.78
  6. Step 6: Final answer
    x = 445.34

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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.