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Finding the Fourth Proportional to 991.44, 1,488.78 and 609.12

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Solution

The fourth proportional to 991.44, 1,488.78 and 609.12 is: 914.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.44 : 1,488.78 = 609.12 : x
  2. Step 2: Convert to fraction form
    991.44/1,488.78 = 609.12/x
  3. Step 3: Cross multiply
    991.44x = 1,488.78 × 609.12
  4. Step 4: Simplify right side
    991.44x = 906,845.67
  5. Step 5: Solve for x
    x = 906,845.67/991.44
  6. Step 6: Final answer
    x = 914.68

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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.