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Finding the Fourth Proportional to 943.79, 1,415.96 and 533.21

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Solution

The fourth proportional to 943.79, 1,415.96 and 533.21 is: 799.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.79 : 1,415.96 = 533.21 : x
  2. Step 2: Convert to fraction form
    943.79/1,415.96 = 533.21/x
  3. Step 3: Cross multiply
    943.79x = 1,415.96 × 533.21
  4. Step 4: Simplify right side
    943.79x = 754,994.29
  5. Step 5: Solve for x
    x = 754,994.29/943.79
  6. Step 6: Final answer
    x = 799.96

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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.