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Finding the Fourth Proportional to 991.20, 1,486.56 and 470.97

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Solution

The fourth proportional to 991.20, 1,486.56 and 470.97 is: 706.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.20 : 1,486.56 = 470.97 : x
  2. Step 2: Convert to fraction form
    991.20/1,486.56 = 470.97/x
  3. Step 3: Cross multiply
    991.20x = 1,486.56 × 470.97
  4. Step 4: Simplify right side
    991.20x = 700,125.16
  5. Step 5: Solve for x
    x = 700,125.16/991.20
  6. Step 6: Final answer
    x = 706.34

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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.