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Finding the Fourth Proportional to 876.60, 1,317.30 and 634.44

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Solution

The fourth proportional to 876.60, 1,317.30 and 634.44 is: 953.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.60 : 1,317.30 = 634.44 : x
  2. Step 2: Convert to fraction form
    876.60/1,317.30 = 634.44/x
  3. Step 3: Cross multiply
    876.60x = 1,317.30 × 634.44
  4. Step 4: Simplify right side
    876.60x = 835,747.81
  5. Step 5: Solve for x
    x = 835,747.81/876.60
  6. Step 6: Final answer
    x = 953.40

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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.