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Finding the Fourth Proportional to 1,228.90, 1,691.67 and 934.06

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Solution

The fourth proportional to 1,228.90, 1,691.67 and 934.06 is: 1,285.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.90 : 1,691.67 = 934.06 : x
  2. Step 2: Convert to fraction form
    1,228.90/1,691.67 = 934.06/x
  3. Step 3: Cross multiply
    1,228.90x = 1,691.67 × 934.06
  4. Step 4: Simplify right side
    1,228.90x = 1,580,121.28
  5. Step 5: Solve for x
    x = 1,580,121.28/1,228.90
  6. Step 6: Final answer
    x = 1,285.80

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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.