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Finding the Fourth Proportional to 801.78, 1,201.59 and 476.70

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Solution

The fourth proportional to 801.78, 1,201.59 and 476.70 is: 714.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.78 : 1,201.59 = 476.70 : x
  2. Step 2: Convert to fraction form
    801.78/1,201.59 = 476.70/x
  3. Step 3: Cross multiply
    801.78x = 1,201.59 × 476.70
  4. Step 4: Simplify right side
    801.78x = 572,797.95
  5. Step 5: Solve for x
    x = 572,797.95/801.78
  6. Step 6: Final answer
    x = 714.41

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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.