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Finding the Fourth Proportional to 910.48, 1,367.52 and 780.43

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Solution

The fourth proportional to 910.48, 1,367.52 and 780.43 is: 1,172.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.48 : 1,367.52 = 780.43 : x
  2. Step 2: Convert to fraction form
    910.48/1,367.52 = 780.43/x
  3. Step 3: Cross multiply
    910.48x = 1,367.52 × 780.43
  4. Step 4: Simplify right side
    910.48x = 1,067,253.63
  5. Step 5: Solve for x
    x = 1,067,253.63/910.48
  6. Step 6: Final answer
    x = 1,172.19

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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.