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Finding the Fourth Proportional to 1,224.59, 1,690.11 and 782.78

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Solution

The fourth proportional to 1,224.59, 1,690.11 and 782.78 is: 1,080.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.59 : 1,690.11 = 782.78 : x
  2. Step 2: Convert to fraction form
    1,224.59/1,690.11 = 782.78/x
  3. Step 3: Cross multiply
    1,224.59x = 1,690.11 × 782.78
  4. Step 4: Simplify right side
    1,224.59x = 1,322,975.86
  5. Step 5: Solve for x
    x = 1,322,975.86/1,224.59
  6. Step 6: Final answer
    x = 1,080.35

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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.