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Finding the Fourth Proportional to 1,403.19, 2,105.19 and 581.31

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Solution

The fourth proportional to 1,403.19, 2,105.19 and 581.31 is: 872.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.19 : 2,105.19 = 581.31 : x
  2. Step 2: Convert to fraction form
    1,403.19/2,105.19 = 581.31/x
  3. Step 3: Cross multiply
    1,403.19x = 2,105.19 × 581.31
  4. Step 4: Simplify right side
    1,403.19x = 1,223,768.00
  5. Step 5: Solve for x
    x = 1,223,768.00/1,403.19
  6. Step 6: Final answer
    x = 872.13

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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.