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Finding the Fourth Proportional to 1,302.87, 1,797.86 and 805.52

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Solution

The fourth proportional to 1,302.87, 1,797.86 and 805.52 is: 1,111.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.87 : 1,797.86 = 805.52 : x
  2. Step 2: Convert to fraction form
    1,302.87/1,797.86 = 805.52/x
  3. Step 3: Cross multiply
    1,302.87x = 1,797.86 × 805.52
  4. Step 4: Simplify right side
    1,302.87x = 1,448,213.64
  5. Step 5: Solve for x
    x = 1,448,213.64/1,302.87
  6. Step 6: Final answer
    x = 1,111.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.