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Finding the Fourth Proportional to 1,676.60, 2,515.30 and 702.16

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Solution

The fourth proportional to 1,676.60, 2,515.30 and 702.16 is: 1,053.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,676.60 : 2,515.30 = 702.16 : x
  2. Step 2: Convert to fraction form
    1,676.60/2,515.30 = 702.16/x
  3. Step 3: Cross multiply
    1,676.60x = 2,515.30 × 702.16
  4. Step 4: Simplify right side
    1,676.60x = 1,766,143.05
  5. Step 5: Solve for x
    x = 1,766,143.05/1,676.60
  6. Step 6: Final answer
    x = 1,053.41

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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.