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Finding the Fourth Proportional to 1,702.28, 2,553.44 and 880.07

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Solution

The fourth proportional to 1,702.28, 2,553.44 and 880.07 is: 1,320.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.28 : 2,553.44 = 880.07 : x
  2. Step 2: Convert to fraction form
    1,702.28/2,553.44 = 880.07/x
  3. Step 3: Cross multiply
    1,702.28x = 2,553.44 × 880.07
  4. Step 4: Simplify right side
    1,702.28x = 2,247,188.77
  5. Step 5: Solve for x
    x = 2,247,188.77/1,702.28
  6. Step 6: Final answer
    x = 1,320.10

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1.5x scale

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.