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Finding the Fourth Proportional to 869.02, 1,296.65 and 816.50

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Solution

The fourth proportional to 869.02, 1,296.65 and 816.50 is: 1,218.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.02 : 1,296.65 = 816.50 : x
  2. Step 2: Convert to fraction form
    869.02/1,296.65 = 816.50/x
  3. Step 3: Cross multiply
    869.02x = 1,296.65 × 816.50
  4. Step 4: Simplify right side
    869.02x = 1,058,714.73
  5. Step 5: Solve for x
    x = 1,058,714.73/869.02
  6. Step 6: Final answer
    x = 1,218.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.