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Finding the Fourth Proportional to 876.28, 1,305.71 and 779.35

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Solution

The fourth proportional to 876.28, 1,305.71 and 779.35 is: 1,161.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.28 : 1,305.71 = 779.35 : x
  2. Step 2: Convert to fraction form
    876.28/1,305.71 = 779.35/x
  3. Step 3: Cross multiply
    876.28x = 1,305.71 × 779.35
  4. Step 4: Simplify right side
    876.28x = 1,017,598.53
  5. Step 5: Solve for x
    x = 1,017,598.53/876.28
  6. Step 6: Final answer
    x = 1,161.27

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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.