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Finding the Fourth Proportional to 561.24, 774.72 and 328.68

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Solution

The fourth proportional to 561.24, 774.72 and 328.68 is: 453.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.24 : 774.72 = 328.68 : x
  2. Step 2: Convert to fraction form
    561.24/774.72 = 328.68/x
  3. Step 3: Cross multiply
    561.24x = 774.72 × 328.68
  4. Step 4: Simplify right side
    561.24x = 254,634.97
  5. Step 5: Solve for x
    x = 254,634.97/561.24
  6. Step 6: Final answer
    x = 453.70

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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.