Home / 1,353.12-2,026.01-702.49

Finding the Fourth Proportional to 1,353.12, 2,026.01 and 702.49

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Solution

The fourth proportional to 1,353.12, 2,026.01 and 702.49 is: 1,051.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.12 : 2,026.01 = 702.49 : x
  2. Step 2: Convert to fraction form
    1,353.12/2,026.01 = 702.49/x
  3. Step 3: Cross multiply
    1,353.12x = 2,026.01 × 702.49
  4. Step 4: Simplify right side
    1,353.12x = 1,423,251.76
  5. Step 5: Solve for x
    x = 1,423,251.76/1,353.12
  6. Step 6: Final answer
    x = 1,051.83

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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.