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Finding the Fourth Proportional to 1,405.29, 2,108.40 and 884.68

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Solution

The fourth proportional to 1,405.29, 2,108.40 and 884.68 is: 1,327.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.29 : 2,108.40 = 884.68 : x
  2. Step 2: Convert to fraction form
    1,405.29/2,108.40 = 884.68/x
  3. Step 3: Cross multiply
    1,405.29x = 2,108.40 × 884.68
  4. Step 4: Simplify right side
    1,405.29x = 1,865,259.31
  5. Step 5: Solve for x
    x = 1,865,259.31/1,405.29
  6. Step 6: Final answer
    x = 1,327.31

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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.