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Finding the Fourth Proportional to 1,330.22, 1,996.88 and 715.14

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Solution

The fourth proportional to 1,330.22, 1,996.88 and 715.14 is: 1,073.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330.22 : 1,996.88 = 715.14 : x
  2. Step 2: Convert to fraction form
    1,330.22/1,996.88 = 715.14/x
  3. Step 3: Cross multiply
    1,330.22x = 1,996.88 × 715.14
  4. Step 4: Simplify right side
    1,330.22x = 1,428,048.76
  5. Step 5: Solve for x
    x = 1,428,048.76/1,330.22
  6. Step 6: Final answer
    x = 1,073.54

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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.