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Finding the Fourth Proportional to 1,330.94, 1,996.50 and 357.14

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Solution

The fourth proportional to 1,330.94, 1,996.50 and 357.14 is: 535.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330.94 : 1,996.50 = 357.14 : x
  2. Step 2: Convert to fraction form
    1,330.94/1,996.50 = 357.14/x
  3. Step 3: Cross multiply
    1,330.94x = 1,996.50 × 357.14
  4. Step 4: Simplify right side
    1,330.94x = 713,030.01
  5. Step 5: Solve for x
    x = 713,030.01/1,330.94
  6. Step 6: Final answer
    x = 535.73

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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.