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Finding the Fourth Proportional to 749.70, 1,124.73 and 359.60

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Solution

The fourth proportional to 749.70, 1,124.73 and 359.60 is: 539.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.70 : 1,124.73 = 359.60 : x
  2. Step 2: Convert to fraction form
    749.70/1,124.73 = 359.60/x
  3. Step 3: Cross multiply
    749.70x = 1,124.73 × 359.60
  4. Step 4: Simplify right side
    749.70x = 404,447.28
  5. Step 5: Solve for x
    x = 404,447.28/749.70
  6. Step 6: Final answer
    x = 539.48

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1.5x scale

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.