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Finding the Fourth Proportional to 731.20, 1,094.88 and 388.48

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Solution

The fourth proportional to 731.20, 1,094.88 and 388.48 is: 581.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.20 : 1,094.88 = 388.48 : x
  2. Step 2: Convert to fraction form
    731.20/1,094.88 = 388.48/x
  3. Step 3: Cross multiply
    731.20x = 1,094.88 × 388.48
  4. Step 4: Simplify right side
    731.20x = 425,338.98
  5. Step 5: Solve for x
    x = 425,338.98/731.20
  6. Step 6: Final answer
    x = 581.70

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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.