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Finding the Fourth Proportional to 782.35, 1,175.65 and 417.40

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Solution

The fourth proportional to 782.35, 1,175.65 and 417.40 is: 627.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.35 : 1,175.65 = 417.40 : x
  2. Step 2: Convert to fraction form
    782.35/1,175.65 = 417.40/x
  3. Step 3: Cross multiply
    782.35x = 1,175.65 × 417.40
  4. Step 4: Simplify right side
    782.35x = 490,712.33
  5. Step 5: Solve for x
    x = 490,712.33/782.35
  6. Step 6: Final answer
    x = 627.23

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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.