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Finding the Fourth Proportional to 782.10, 1,175.28 and 417.14

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Solution

The fourth proportional to 782.10, 1,175.28 and 417.14 is: 626.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.10 : 1,175.28 = 417.14 : x
  2. Step 2: Convert to fraction form
    782.10/1,175.28 = 417.14/x
  3. Step 3: Cross multiply
    782.10x = 1,175.28 × 417.14
  4. Step 4: Simplify right side
    782.10x = 490,256.30
  5. Step 5: Solve for x
    x = 490,256.30/782.10
  6. Step 6: Final answer
    x = 626.85

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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.