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Finding the Fourth Proportional to 1,493.48, 2,060.97 and 830.31

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Solution

The fourth proportional to 1,493.48, 2,060.97 and 830.31 is: 1,145.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,493.48 : 2,060.97 = 830.31 : x
  2. Step 2: Convert to fraction form
    1,493.48/2,060.97 = 830.31/x
  3. Step 3: Cross multiply
    1,493.48x = 2,060.97 × 830.31
  4. Step 4: Simplify right side
    1,493.48x = 1,711,244.00
  5. Step 5: Solve for x
    x = 1,711,244.00/1,493.48
  6. Step 6: Final answer
    x = 1,145.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.