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Finding the Fourth Proportional to 561.83, 774.11 and 403.95

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Solution

The fourth proportional to 561.83, 774.11 and 403.95 is: 556.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.83 : 774.11 = 403.95 : x
  2. Step 2: Convert to fraction form
    561.83/774.11 = 403.95/x
  3. Step 3: Cross multiply
    561.83x = 774.11 × 403.95
  4. Step 4: Simplify right side
    561.83x = 312,701.73
  5. Step 5: Solve for x
    x = 312,701.73/561.83
  6. Step 6: Final answer
    x = 556.58

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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.