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Finding the Fourth Proportional to 1,092.16, 1,506.72 and 677.44

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Solution

The fourth proportional to 1,092.16, 1,506.72 and 677.44 is: 934.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.16 : 1,506.72 = 677.44 : x
  2. Step 2: Convert to fraction form
    1,092.16/1,506.72 = 677.44/x
  3. Step 3: Cross multiply
    1,092.16x = 1,506.72 × 677.44
  4. Step 4: Simplify right side
    1,092.16x = 1,020,712.40
  5. Step 5: Solve for x
    x = 1,020,712.40/1,092.16
  6. Step 6: Final answer
    x = 934.58

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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.