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Finding the Fourth Proportional to 782.96, 1,175.08 and 398.32

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Solution

The fourth proportional to 782.96, 1,175.08 and 398.32 is: 597.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.96 : 1,175.08 = 398.32 : x
  2. Step 2: Convert to fraction form
    782.96/1,175.08 = 398.32/x
  3. Step 3: Cross multiply
    782.96x = 1,175.08 × 398.32
  4. Step 4: Simplify right side
    782.96x = 468,057.87
  5. Step 5: Solve for x
    x = 468,057.87/782.96
  6. Step 6: Final answer
    x = 597.81

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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.