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Finding the Fourth Proportional to 1,017.37, 1,515.85 and 908.22

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Solution

The fourth proportional to 1,017.37, 1,515.85 and 908.22 is: 1,353.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.37 : 1,515.85 = 908.22 : x
  2. Step 2: Convert to fraction form
    1,017.37/1,515.85 = 908.22/x
  3. Step 3: Cross multiply
    1,017.37x = 1,515.85 × 908.22
  4. Step 4: Simplify right side
    1,017.37x = 1,376,725.29
  5. Step 5: Solve for x
    x = 1,376,725.29/1,017.37
  6. Step 6: Final answer
    x = 1,353.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.