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Finding the Fourth Proportional to 876.26, 1,312.17 and 783.38

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Solution

The fourth proportional to 876.26, 1,312.17 and 783.38 is: 1,173.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.26 : 1,312.17 = 783.38 : x
  2. Step 2: Convert to fraction form
    876.26/1,312.17 = 783.38/x
  3. Step 3: Cross multiply
    876.26x = 1,312.17 × 783.38
  4. Step 4: Simplify right side
    876.26x = 1,027,927.73
  5. Step 5: Solve for x
    x = 1,027,927.73/876.26
  6. Step 6: Final answer
    x = 1,173.09

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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.