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Finding the Fourth Proportional to 1,073.80, 1,610.70 and 293.80

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Solution

The fourth proportional to 1,073.80, 1,610.70 and 293.80 is: 440.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.80 : 1,610.70 = 293.80 : x
  2. Step 2: Convert to fraction form
    1,073.80/1,610.70 = 293.80/x
  3. Step 3: Cross multiply
    1,073.80x = 1,610.70 × 293.80
  4. Step 4: Simplify right side
    1,073.80x = 473,223.66
  5. Step 5: Solve for x
    x = 473,223.66/1,073.80
  6. Step 6: Final answer
    x = 440.70

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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.