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Finding the Fourth Proportional to 862.31, 1,297.10 and 782.12

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Solution

The fourth proportional to 862.31, 1,297.10 and 782.12 is: 1,176.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.31 : 1,297.10 = 782.12 : x
  2. Step 2: Convert to fraction form
    862.31/1,297.10 = 782.12/x
  3. Step 3: Cross multiply
    862.31x = 1,297.10 × 782.12
  4. Step 4: Simplify right side
    862.31x = 1,014,483.32
  5. Step 5: Solve for x
    x = 1,014,483.32/862.31
  6. Step 6: Final answer
    x = 1,176.48

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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.