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Finding the Fourth Proportional to 800.30, 1,193.54 and 722.54

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Solution

The fourth proportional to 800.30, 1,193.54 and 722.54 is: 1,077.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.30 : 1,193.54 = 722.54 : x
  2. Step 2: Convert to fraction form
    800.30/1,193.54 = 722.54/x
  3. Step 3: Cross multiply
    800.30x = 1,193.54 × 722.54
  4. Step 4: Simplify right side
    800.30x = 862,380.39
  5. Step 5: Solve for x
    x = 862,380.39/800.30
  6. Step 6: Final answer
    x = 1,077.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.