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Finding the Fourth Proportional to 561.93, 842.79 and 380.49

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Solution

The fourth proportional to 561.93, 842.79 and 380.49 is: 570.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.93 : 842.79 = 380.49 : x
  2. Step 2: Convert to fraction form
    561.93/842.79 = 380.49/x
  3. Step 3: Cross multiply
    561.93x = 842.79 × 380.49
  4. Step 4: Simplify right side
    561.93x = 320,673.17
  5. Step 5: Solve for x
    x = 320,673.17/561.93
  6. Step 6: Final answer
    x = 570.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.