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Finding the Fourth Proportional to 561.68, 774.24 and 386.72

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Solution

The fourth proportional to 561.68, 774.24 and 386.72 is: 533.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.68 : 774.24 = 386.72 : x
  2. Step 2: Convert to fraction form
    561.68/774.24 = 386.72/x
  3. Step 3: Cross multiply
    561.68x = 774.24 × 386.72
  4. Step 4: Simplify right side
    561.68x = 299,414.09
  5. Step 5: Solve for x
    x = 299,414.09/561.68
  6. Step 6: Final answer
    x = 533.07

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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.