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Finding the Fourth Proportional to 942.50, 1,414.56 and 509.96

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Solution

The fourth proportional to 942.50, 1,414.56 and 509.96 is: 765.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.50 : 1,414.56 = 509.96 : x
  2. Step 2: Convert to fraction form
    942.50/1,414.56 = 509.96/x
  3. Step 3: Cross multiply
    942.50x = 1,414.56 × 509.96
  4. Step 4: Simplify right side
    942.50x = 721,374.47
  5. Step 5: Solve for x
    x = 721,374.47/942.50
  6. Step 6: Final answer
    x = 765.38

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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.