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Finding the Fourth Proportional to 1,228.80, 1,697.12 and 952.38

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Solution

The fourth proportional to 1,228.80, 1,697.12 and 952.38 is: 1,315.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.80 : 1,697.12 = 952.38 : x
  2. Step 2: Convert to fraction form
    1,228.80/1,697.12 = 952.38/x
  3. Step 3: Cross multiply
    1,228.80x = 1,697.12 × 952.38
  4. Step 4: Simplify right side
    1,228.80x = 1,616,294.66
  5. Step 5: Solve for x
    x = 1,616,294.66/1,228.80
  6. Step 6: Final answer
    x = 1,315.34

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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.