Home / 1,702.24-2,551.54-880.30

Finding the Fourth Proportional to 1,702.24, 2,551.54 and 880.30

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Solution

The fourth proportional to 1,702.24, 2,551.54 and 880.30 is: 1,319.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.24 : 2,551.54 = 880.30 : x
  2. Step 2: Convert to fraction form
    1,702.24/2,551.54 = 880.30/x
  3. Step 3: Cross multiply
    1,702.24x = 2,551.54 × 880.30
  4. Step 4: Simplify right side
    1,702.24x = 2,246,120.66
  5. Step 5: Solve for x
    x = 2,246,120.66/1,702.24
  6. Step 6: Final answer
    x = 1,319.51

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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.