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Finding the Fourth Proportional to 587.34, 876.71 and 518.14

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Solution

The fourth proportional to 587.34, 876.71 and 518.14 is: 773.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.34 : 876.71 = 518.14 : x
  2. Step 2: Convert to fraction form
    587.34/876.71 = 518.14/x
  3. Step 3: Cross multiply
    587.34x = 876.71 × 518.14
  4. Step 4: Simplify right side
    587.34x = 454,255.93
  5. Step 5: Solve for x
    x = 454,255.93/587.34
  6. Step 6: Final answer
    x = 773.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.