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Finding the Fourth Proportional to 991.78, 1,358.72 and 954.86

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Solution

The fourth proportional to 991.78, 1,358.72 and 954.86 is: 1,308.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.78 : 1,358.72 = 954.86 : x
  2. Step 2: Convert to fraction form
    991.78/1,358.72 = 954.86/x
  3. Step 3: Cross multiply
    991.78x = 1,358.72 × 954.86
  4. Step 4: Simplify right side
    991.78x = 1,297,387.38
  5. Step 5: Solve for x
    x = 1,297,387.38/991.78
  6. Step 6: Final answer
    x = 1,308.14

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.