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Finding the Fourth Proportional to 561.33, 775.70 and 477.27

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Solution

The fourth proportional to 561.33, 775.70 and 477.27 is: 659.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.33 : 775.70 = 477.27 : x
  2. Step 2: Convert to fraction form
    561.33/775.70 = 477.27/x
  3. Step 3: Cross multiply
    561.33x = 775.70 × 477.27
  4. Step 4: Simplify right side
    561.33x = 370,216.90
  5. Step 5: Solve for x
    x = 370,216.90/561.33
  6. Step 6: Final answer
    x = 659.54

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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.