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Finding the Fourth Proportional to 733.20, 1,094.70 and 642.48

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Solution

The fourth proportional to 733.20, 1,094.70 and 642.48 is: 959.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.20 : 1,094.70 = 642.48 : x
  2. Step 2: Convert to fraction form
    733.20/1,094.70 = 642.48/x
  3. Step 3: Cross multiply
    733.20x = 1,094.70 × 642.48
  4. Step 4: Simplify right side
    733.20x = 703,322.86
  5. Step 5: Solve for x
    x = 703,322.86/733.20
  6. Step 6: Final answer
    x = 959.25

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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.