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Finding the Fourth Proportional to 869.40, 1,302.71 and 706.28

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Solution

The fourth proportional to 869.40, 1,302.71 and 706.28 is: 1,058.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.40 : 1,302.71 = 706.28 : x
  2. Step 2: Convert to fraction form
    869.40/1,302.71 = 706.28/x
  3. Step 3: Cross multiply
    869.40x = 1,302.71 × 706.28
  4. Step 4: Simplify right side
    869.40x = 920,067.97
  5. Step 5: Solve for x
    x = 920,067.97/869.40
  6. Step 6: Final answer
    x = 1,058.28

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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.