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Finding the Fourth Proportional to 982.11, 1,470.54 and 787.51

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Solution

The fourth proportional to 982.11, 1,470.54 and 787.51 is: 1,179.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.11 : 1,470.54 = 787.51 : x
  2. Step 2: Convert to fraction form
    982.11/1,470.54 = 787.51/x
  3. Step 3: Cross multiply
    982.11x = 1,470.54 × 787.51
  4. Step 4: Simplify right side
    982.11x = 1,158,064.96
  5. Step 5: Solve for x
    x = 1,158,064.96/982.11
  6. Step 6: Final answer
    x = 1,179.16

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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.