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Finding the Fourth Proportional to 1,819.70, 2,730 and 649.88

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Solution

The fourth proportional to 1,819.70, 2,730 and 649.88 is: 974.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,819.70 : 2,730 = 649.88 : x
  2. Step 2: Convert to fraction form
    1,819.70/2,730 = 649.88/x
  3. Step 3: Cross multiply
    1,819.70x = 2,730 × 649.88
  4. Step 4: Simplify right side
    1,819.70x = 1,774,172.40
  5. Step 5: Solve for x
    x = 1,774,172.40/1,819.70
  6. Step 6: Final answer
    x = 974.98

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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.