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Finding the Fourth Proportional to 991.17, 1,374.08 and 938.50

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Solution

The fourth proportional to 991.17, 1,374.08 and 938.50 is: 1,301.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.17 : 1,374.08 = 938.50 : x
  2. Step 2: Convert to fraction form
    991.17/1,374.08 = 938.50/x
  3. Step 3: Cross multiply
    991.17x = 1,374.08 × 938.50
  4. Step 4: Simplify right side
    991.17x = 1,289,569.39
  5. Step 5: Solve for x
    x = 1,289,569.39/991.17
  6. Step 6: Final answer
    x = 1,301.06

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.