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Finding the Fourth Proportional to 749.97, 1,033.44 and 580.90

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Solution

The fourth proportional to 749.97, 1,033.44 and 580.90 is: 800.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.97 : 1,033.44 = 580.90 : x
  2. Step 2: Convert to fraction form
    749.97/1,033.44 = 580.90/x
  3. Step 3: Cross multiply
    749.97x = 1,033.44 × 580.90
  4. Step 4: Simplify right side
    749.97x = 600,331.35
  5. Step 5: Solve for x
    x = 600,331.35/749.97
  6. Step 6: Final answer
    x = 800.47

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1.5x scale

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.