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Finding the Fourth Proportional to 801.74, 1,201.28 and 492.93

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Solution

The fourth proportional to 801.74, 1,201.28 and 492.93 is: 738.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.74 : 1,201.28 = 492.93 : x
  2. Step 2: Convert to fraction form
    801.74/1,201.28 = 492.93/x
  3. Step 3: Cross multiply
    801.74x = 1,201.28 × 492.93
  4. Step 4: Simplify right side
    801.74x = 592,144.49
  5. Step 5: Solve for x
    x = 592,144.49/801.74
  6. Step 6: Final answer
    x = 738.58

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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.