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Finding the Fourth Proportional to 1,376.86, 2,066.22 and 511.18

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Solution

The fourth proportional to 1,376.86, 2,066.22 and 511.18 is: 767.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376.86 : 2,066.22 = 511.18 : x
  2. Step 2: Convert to fraction form
    1,376.86/2,066.22 = 511.18/x
  3. Step 3: Cross multiply
    1,376.86x = 2,066.22 × 511.18
  4. Step 4: Simplify right side
    1,376.86x = 1,056,210.34
  5. Step 5: Solve for x
    x = 1,056,210.34/1,376.86
  6. Step 6: Final answer
    x = 767.12

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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.