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Finding the Fourth Proportional to 943.84, 1,302.65 and 748.83

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Solution

The fourth proportional to 943.84, 1,302.65 and 748.83 is: 1,033.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.84 : 1,302.65 = 748.83 : x
  2. Step 2: Convert to fraction form
    943.84/1,302.65 = 748.83/x
  3. Step 3: Cross multiply
    943.84x = 1,302.65 × 748.83
  4. Step 4: Simplify right side
    943.84x = 975,463.40
  5. Step 5: Solve for x
    x = 975,463.40/943.84
  6. Step 6: Final answer
    x = 1,033.51

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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.