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Finding the Fourth Proportional to 991.79, 1,484.94 and 747.57

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Solution

The fourth proportional to 991.79, 1,484.94 and 747.57 is: 1,119.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.79 : 1,484.94 = 747.57 : x
  2. Step 2: Convert to fraction form
    991.79/1,484.94 = 747.57/x
  3. Step 3: Cross multiply
    991.79x = 1,484.94 × 747.57
  4. Step 4: Simplify right side
    991.79x = 1,110,096.60
  5. Step 5: Solve for x
    x = 1,110,096.60/991.79
  6. Step 6: Final answer
    x = 1,119.29

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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.