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Finding the Fourth Proportional to 1,379.68, 2,066.18 and 649.46

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Solution

The fourth proportional to 1,379.68, 2,066.18 and 649.46 is: 972.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,379.68 : 2,066.18 = 649.46 : x
  2. Step 2: Convert to fraction form
    1,379.68/2,066.18 = 649.46/x
  3. Step 3: Cross multiply
    1,379.68x = 2,066.18 × 649.46
  4. Step 4: Simplify right side
    1,379.68x = 1,341,903.18
  5. Step 5: Solve for x
    x = 1,341,903.18/1,379.68
  6. Step 6: Final answer
    x = 972.62

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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.