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Finding the Fourth Proportional to 1,535.09, 2,302.02 and 805.28

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Solution

The fourth proportional to 1,535.09, 2,302.02 and 805.28 is: 1,207.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.09 : 2,302.02 = 805.28 : x
  2. Step 2: Convert to fraction form
    1,535.09/2,302.02 = 805.28/x
  3. Step 3: Cross multiply
    1,535.09x = 2,302.02 × 805.28
  4. Step 4: Simplify right side
    1,535.09x = 1,853,759.16
  5. Step 5: Solve for x
    x = 1,853,759.16/1,535.09
  6. Step 6: Final answer
    x = 1,207.59

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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.