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Finding the Fourth Proportional to 1,072.40, 1,610.40 and 708.80

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Solution

The fourth proportional to 1,072.40, 1,610.40 and 708.80 is: 1,064.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.40 : 1,610.40 = 708.80 : x
  2. Step 2: Convert to fraction form
    1,072.40/1,610.40 = 708.80/x
  3. Step 3: Cross multiply
    1,072.40x = 1,610.40 × 708.80
  4. Step 4: Simplify right side
    1,072.40x = 1,141,451.52
  5. Step 5: Solve for x
    x = 1,141,451.52/1,072.40
  6. Step 6: Final answer
    x = 1,064.39

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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.