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Finding the Fourth Proportional to 801.22, 1,201.68 and 476.26

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Solution

The fourth proportional to 801.22, 1,201.68 and 476.26 is: 714.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.22 : 1,201.68 = 476.26 : x
  2. Step 2: Convert to fraction form
    801.22/1,201.68 = 476.26/x
  3. Step 3: Cross multiply
    801.22x = 1,201.68 × 476.26
  4. Step 4: Simplify right side
    801.22x = 572,312.12
  5. Step 5: Solve for x
    x = 572,312.12/801.22
  6. Step 6: Final answer
    x = 714.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.