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Finding the Fourth Proportional to 942.84, 1,414.87 and 531.56

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Solution

The fourth proportional to 942.84, 1,414.87 and 531.56 is: 797.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.84 : 1,414.87 = 531.56 : x
  2. Step 2: Convert to fraction form
    942.84/1,414.87 = 531.56/x
  3. Step 3: Cross multiply
    942.84x = 1,414.87 × 531.56
  4. Step 4: Simplify right side
    942.84x = 752,090.51
  5. Step 5: Solve for x
    x = 752,090.51/942.84
  6. Step 6: Final answer
    x = 797.69

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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.