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Finding the Fourth Proportional to 990.47, 1,486.04 and 470.42

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Solution

The fourth proportional to 990.47, 1,486.04 and 470.42 is: 705.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.47 : 1,486.04 = 470.42 : x
  2. Step 2: Convert to fraction form
    990.47/1,486.04 = 470.42/x
  3. Step 3: Cross multiply
    990.47x = 1,486.04 × 470.42
  4. Step 4: Simplify right side
    990.47x = 699,053.15
  5. Step 5: Solve for x
    x = 699,053.15/990.47
  6. Step 6: Final answer
    x = 705.78

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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.