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Finding the Fourth Proportional to 862.94, 1,297.26 and 710.00

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Solution

The fourth proportional to 862.94, 1,297.26 and 710.00 is: 1,067.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.94 : 1,297.26 = 710.00 : x
  2. Step 2: Convert to fraction form
    862.94/1,297.26 = 710.00/x
  3. Step 3: Cross multiply
    862.94x = 1,297.26 × 710.00
  4. Step 4: Simplify right side
    862.94x = 921,048.11
  5. Step 5: Solve for x
    x = 921,048.11/862.94
  6. Step 6: Final answer
    x = 1,067.34

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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.