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Finding the Fourth Proportional to 1,973.48, 2,959.78 and 803.18

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Solution

The fourth proportional to 1,973.48, 2,959.78 and 803.18 is: 1,204.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,973.48 : 2,959.78 = 803.18 : x
  2. Step 2: Convert to fraction form
    1,973.48/2,959.78 = 803.18/x
  3. Step 3: Cross multiply
    1,973.48x = 2,959.78 × 803.18
  4. Step 4: Simplify right side
    1,973.48x = 2,377,236.10
  5. Step 5: Solve for x
    x = 2,377,236.10/1,973.48
  6. Step 6: Final answer
    x = 1,204.59

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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.