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Finding the Fourth Proportional to 1,113.68, 1,669.34 and 805.39

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Solution

The fourth proportional to 1,113.68, 1,669.34 and 805.39 is: 1,207.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.68 : 1,669.34 = 805.39 : x
  2. Step 2: Convert to fraction form
    1,113.68/1,669.34 = 805.39/x
  3. Step 3: Cross multiply
    1,113.68x = 1,669.34 × 805.39
  4. Step 4: Simplify right side
    1,113.68x = 1,344,467.58
  5. Step 5: Solve for x
    x = 1,344,467.58/1,113.68
  6. Step 6: Final answer
    x = 1,207.23

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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.