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Finding the Fourth Proportional to 991.78, 1,368.64 and 549.66

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Solution

The fourth proportional to 991.78, 1,368.64 and 549.66 is: 758.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.78 : 1,368.64 = 549.66 : x
  2. Step 2: Convert to fraction form
    991.78/1,368.64 = 549.66/x
  3. Step 3: Cross multiply
    991.78x = 1,368.64 × 549.66
  4. Step 4: Simplify right side
    991.78x = 752,286.66
  5. Step 5: Solve for x
    x = 752,286.66/991.78
  6. Step 6: Final answer
    x = 758.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.