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Finding the Fourth Proportional to 1,077.43, 1,484.91 and 782.18

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Solution

The fourth proportional to 1,077.43, 1,484.91 and 782.18 is: 1,078.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.43 : 1,484.91 = 782.18 : x
  2. Step 2: Convert to fraction form
    1,077.43/1,484.91 = 782.18/x
  3. Step 3: Cross multiply
    1,077.43x = 1,484.91 × 782.18
  4. Step 4: Simplify right side
    1,077.43x = 1,161,470.62
  5. Step 5: Solve for x
    x = 1,161,470.62/1,077.43
  6. Step 6: Final answer
    x = 1,078.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.