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Finding the Fourth Proportional to 1,437.90, 2,154.02 and 819.74

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Solution

The fourth proportional to 1,437.90, 2,154.02 and 819.74 is: 1,228.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.90 : 2,154.02 = 819.74 : x
  2. Step 2: Convert to fraction form
    1,437.90/2,154.02 = 819.74/x
  3. Step 3: Cross multiply
    1,437.90x = 2,154.02 × 819.74
  4. Step 4: Simplify right side
    1,437.90x = 1,765,736.35
  5. Step 5: Solve for x
    x = 1,765,736.35/1,437.90
  6. Step 6: Final answer
    x = 1,228.00

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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.