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Finding the Fourth Proportional to 1,224.32, 1,690.47 and 782.46

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Solution

The fourth proportional to 1,224.32, 1,690.47 and 782.46 is: 1,080.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.32 : 1,690.47 = 782.46 : x
  2. Step 2: Convert to fraction form
    1,224.32/1,690.47 = 782.46/x
  3. Step 3: Cross multiply
    1,224.32x = 1,690.47 × 782.46
  4. Step 4: Simplify right side
    1,224.32x = 1,322,725.16
  5. Step 5: Solve for x
    x = 1,322,725.16/1,224.32
  6. Step 6: Final answer
    x = 1,080.38

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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.