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Finding the Fourth Proportional to 561.87, 775.17 and 405.09

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Solution

The fourth proportional to 561.87, 775.17 and 405.09 is: 558.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.87 : 775.17 = 405.09 : x
  2. Step 2: Convert to fraction form
    561.87/775.17 = 405.09/x
  3. Step 3: Cross multiply
    561.87x = 775.17 × 405.09
  4. Step 4: Simplify right side
    561.87x = 314,013.62
  5. Step 5: Solve for x
    x = 314,013.62/561.87
  6. Step 6: Final answer
    x = 558.87

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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.