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Finding the Fourth Proportional to 587.78, 882.21 and 314.18

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Solution

The fourth proportional to 587.78, 882.21 and 314.18 is: 471.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.78 : 882.21 = 314.18 : x
  2. Step 2: Convert to fraction form
    587.78/882.21 = 314.18/x
  3. Step 3: Cross multiply
    587.78x = 882.21 × 314.18
  4. Step 4: Simplify right side
    587.78x = 277,172.74
  5. Step 5: Solve for x
    x = 277,172.74/587.78
  6. Step 6: Final answer
    x = 471.56

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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.