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Finding the Fourth Proportional to 561.58, 775.31 and 427.75

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Solution

The fourth proportional to 561.58, 775.31 and 427.75 is: 590.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.58 : 775.31 = 427.75 : x
  2. Step 2: Convert to fraction form
    561.58/775.31 = 427.75/x
  3. Step 3: Cross multiply
    561.58x = 775.31 × 427.75
  4. Step 4: Simplify right side
    561.58x = 331,640.34
  5. Step 5: Solve for x
    x = 331,640.34/561.58
  6. Step 6: Final answer
    x = 590.55

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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.