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Finding the Fourth Proportional to 584.48, 876.78 and 255.35

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Solution

The fourth proportional to 584.48, 876.78 and 255.35 is: 383.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.48 : 876.78 = 255.35 : x
  2. Step 2: Convert to fraction form
    584.48/876.78 = 255.35/x
  3. Step 3: Cross multiply
    584.48x = 876.78 × 255.35
  4. Step 4: Simplify right side
    584.48x = 223,887.96
  5. Step 5: Solve for x
    x = 223,887.96/584.48
  6. Step 6: Final answer
    x = 383.05

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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.