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Finding the Fourth Proportional to 1,332.02, 2,001.81 and 902.18

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Solution

The fourth proportional to 1,332.02, 2,001.81 and 902.18 is: 1,355.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,332.02 : 2,001.81 = 902.18 : x
  2. Step 2: Convert to fraction form
    1,332.02/2,001.81 = 902.18/x
  3. Step 3: Cross multiply
    1,332.02x = 2,001.81 × 902.18
  4. Step 4: Simplify right side
    1,332.02x = 1,805,982.94
  5. Step 5: Solve for x
    x = 1,805,982.94/1,332.02
  6. Step 6: Final answer
    x = 1,355.83

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1.5x scale

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.