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Finding the Fourth Proportional to 908.67, 1,360.44 and 561

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Solution

The fourth proportional to 908.67, 1,360.44 and 561 is: 839.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.67 : 1,360.44 = 561 : x
  2. Step 2: Convert to fraction form
    908.67/1,360.44 = 561/x
  3. Step 3: Cross multiply
    908.67x = 1,360.44 × 561
  4. Step 4: Simplify right side
    908.67x = 763,206.84
  5. Step 5: Solve for x
    x = 763,206.84/908.67
  6. Step 6: Final answer
    x = 839.92

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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.