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Finding the Fourth Proportional to 1,299.66, 1,793.52 and 710.19

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Solution

The fourth proportional to 1,299.66, 1,793.52 and 710.19 is: 980.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.66 : 1,793.52 = 710.19 : x
  2. Step 2: Convert to fraction form
    1,299.66/1,793.52 = 710.19/x
  3. Step 3: Cross multiply
    1,299.66x = 1,793.52 × 710.19
  4. Step 4: Simplify right side
    1,299.66x = 1,273,739.97
  5. Step 5: Solve for x
    x = 1,273,739.97/1,299.66
  6. Step 6: Final answer
    x = 980.06

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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.