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Finding the Fourth Proportional to 773.52, 1,160.24 and 388.76

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Solution

The fourth proportional to 773.52, 1,160.24 and 388.76 is: 583.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.52 : 1,160.24 = 388.76 : x
  2. Step 2: Convert to fraction form
    773.52/1,160.24 = 388.76/x
  3. Step 3: Cross multiply
    773.52x = 1,160.24 × 388.76
  4. Step 4: Simplify right side
    773.52x = 451,054.90
  5. Step 5: Solve for x
    x = 451,054.90/773.52
  6. Step 6: Final answer
    x = 583.12

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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.