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Finding the Fourth Proportional to 1,702.40, 2,553.60 and 1,580.90

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Solution

The fourth proportional to 1,702.40, 2,553.60 and 1,580.90 is: 2,371.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.40 : 2,553.60 = 1,580.90 : x
  2. Step 2: Convert to fraction form
    1,702.40/2,553.60 = 1,580.90/x
  3. Step 3: Cross multiply
    1,702.40x = 2,553.60 × 1,580.90
  4. Step 4: Simplify right side
    1,702.40x = 4,036,986.24
  5. Step 5: Solve for x
    x = 4,036,986.24/1,702.40
  6. Step 6: Final answer
    x = 2,371.35

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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.