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Finding the Fourth Proportional to 1,335.81, 2,004.03 and 411.35

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Solution

The fourth proportional to 1,335.81, 2,004.03 and 411.35 is: 617.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.81 : 2,004.03 = 411.35 : x
  2. Step 2: Convert to fraction form
    1,335.81/2,004.03 = 411.35/x
  3. Step 3: Cross multiply
    1,335.81x = 2,004.03 × 411.35
  4. Step 4: Simplify right side
    1,335.81x = 824,356.75
  5. Step 5: Solve for x
    x = 824,356.75/1,335.81
  6. Step 6: Final answer
    x = 617.12

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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.