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Finding the Fourth Proportional to 1,335.79, 2,004.09 and 946.55

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Solution

The fourth proportional to 1,335.79, 2,004.09 and 946.55 is: 1,420.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.79 : 2,004.09 = 946.55 : x
  2. Step 2: Convert to fraction form
    1,335.79/2,004.09 = 946.55/x
  3. Step 3: Cross multiply
    1,335.79x = 2,004.09 × 946.55
  4. Step 4: Simplify right side
    1,335.79x = 1,896,961.37
  5. Step 5: Solve for x
    x = 1,896,961.37/1,335.79
  6. Step 6: Final answer
    x = 1,420.10

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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.