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Finding the Fourth Proportional to 991.96, 1,488.45 and 472.55

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Solution

The fourth proportional to 991.96, 1,488.45 and 472.55 is: 709.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.96 : 1,488.45 = 472.55 : x
  2. Step 2: Convert to fraction form
    991.96/1,488.45 = 472.55/x
  3. Step 3: Cross multiply
    991.96x = 1,488.45 × 472.55
  4. Step 4: Simplify right side
    991.96x = 703,367.05
  5. Step 5: Solve for x
    x = 703,367.05/991.96
  6. Step 6: Final answer
    x = 709.07

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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.