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Finding the Fourth Proportional to 561.71, 774.77 and 372.62

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Solution

The fourth proportional to 561.71, 774.77 and 372.62 is: 513.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.71 : 774.77 = 372.62 : x
  2. Step 2: Convert to fraction form
    561.71/774.77 = 372.62/x
  3. Step 3: Cross multiply
    561.71x = 774.77 × 372.62
  4. Step 4: Simplify right side
    561.71x = 288,689.06
  5. Step 5: Solve for x
    x = 288,689.06/561.71
  6. Step 6: Final answer
    x = 513.95

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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.