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Finding the Fourth Proportional to 982.47, 1,470.47 and 874.47

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Solution

The fourth proportional to 982.47, 1,470.47 and 874.47 is: 1,308.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.47 : 1,470.47 = 874.47 : x
  2. Step 2: Convert to fraction form
    982.47/1,470.47 = 874.47/x
  3. Step 3: Cross multiply
    982.47x = 1,470.47 × 874.47
  4. Step 4: Simplify right side
    982.47x = 1,285,877.53
  5. Step 5: Solve for x
    x = 1,285,877.53/982.47
  6. Step 6: Final answer
    x = 1,308.82

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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.