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Finding the Fourth Proportional to 508.78, 763.12 and 143.57

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Solution

The fourth proportional to 508.78, 763.12 and 143.57 is: 215.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.78 : 763.12 = 143.57 : x
  2. Step 2: Convert to fraction form
    508.78/763.12 = 143.57/x
  3. Step 3: Cross multiply
    508.78x = 763.12 × 143.57
  4. Step 4: Simplify right side
    508.78x = 109,563.23
  5. Step 5: Solve for x
    x = 109,563.23/508.78
  6. Step 6: Final answer
    x = 215.34

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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.