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Finding the Fourth Proportional to 748.59, 1,033.95 and 591.45

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Solution

The fourth proportional to 748.59, 1,033.95 and 591.45 is: 816.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.59 : 1,033.95 = 591.45 : x
  2. Step 2: Convert to fraction form
    748.59/1,033.95 = 591.45/x
  3. Step 3: Cross multiply
    748.59x = 1,033.95 × 591.45
  4. Step 4: Simplify right side
    748.59x = 611,529.73
  5. Step 5: Solve for x
    x = 611,529.73/748.59
  6. Step 6: Final answer
    x = 816.91

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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.