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Finding the Fourth Proportional to 1,697.64, 2,545.14 and 819.69

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Solution

The fourth proportional to 1,697.64, 2,545.14 and 819.69 is: 1,228.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697.64 : 2,545.14 = 819.69 : x
  2. Step 2: Convert to fraction form
    1,697.64/2,545.14 = 819.69/x
  3. Step 3: Cross multiply
    1,697.64x = 2,545.14 × 819.69
  4. Step 4: Simplify right side
    1,697.64x = 2,086,225.81
  5. Step 5: Solve for x
    x = 2,086,225.81/1,697.64
  6. Step 6: Final answer
    x = 1,228.90

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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.