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Finding the Fourth Proportional to 782.22, 1,175.46 and 417.25

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Solution

The fourth proportional to 782.22, 1,175.46 and 417.25 is: 627.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.22 : 1,175.46 = 417.25 : x
  2. Step 2: Convert to fraction form
    782.22/1,175.46 = 417.25/x
  3. Step 3: Cross multiply
    782.22x = 1,175.46 × 417.25
  4. Step 4: Simplify right side
    782.22x = 490,460.69
  5. Step 5: Solve for x
    x = 490,460.69/782.22
  6. Step 6: Final answer
    x = 627.01

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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.