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Finding the Fourth Proportional to 943.50, 1,302.12 and 529.50

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Solution

The fourth proportional to 943.50, 1,302.12 and 529.50 is: 730.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.50 : 1,302.12 = 529.50 : x
  2. Step 2: Convert to fraction form
    943.50/1,302.12 = 529.50/x
  3. Step 3: Cross multiply
    943.50x = 1,302.12 × 529.50
  4. Step 4: Simplify right side
    943.50x = 689,472.54
  5. Step 5: Solve for x
    x = 689,472.54/943.50
  6. Step 6: Final answer
    x = 730.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.