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Finding the Fourth Proportional to 1,702.08, 2,552.27 and 880.11

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Solution

The fourth proportional to 1,702.08, 2,552.27 and 880.11 is: 1,319.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.08 : 2,552.27 = 880.11 : x
  2. Step 2: Convert to fraction form
    1,702.08/2,552.27 = 880.11/x
  3. Step 3: Cross multiply
    1,702.08x = 2,552.27 × 880.11
  4. Step 4: Simplify right side
    1,702.08x = 2,246,273.95
  5. Step 5: Solve for x
    x = 2,246,273.95/1,702.08
  6. Step 6: Final answer
    x = 1,319.72

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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.