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Finding the Fourth Proportional to 561.88, 775.58 and 329

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Solution

The fourth proportional to 561.88, 775.58 and 329 is: 454.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.88 : 775.58 = 329 : x
  2. Step 2: Convert to fraction form
    561.88/775.58 = 329/x
  3. Step 3: Cross multiply
    561.88x = 775.58 × 329
  4. Step 4: Simplify right side
    561.88x = 255,165.82
  5. Step 5: Solve for x
    x = 255,165.82/561.88
  6. Step 6: Final answer
    x = 454.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.