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Finding the Fourth Proportional to 1,099.51, 1,515.13 and 784.22

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Solution

The fourth proportional to 1,099.51, 1,515.13 and 784.22 is: 1,080.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.51 : 1,515.13 = 784.22 : x
  2. Step 2: Convert to fraction form
    1,099.51/1,515.13 = 784.22/x
  3. Step 3: Cross multiply
    1,099.51x = 1,515.13 × 784.22
  4. Step 4: Simplify right side
    1,099.51x = 1,188,185.71
  5. Step 5: Solve for x
    x = 1,188,185.71/1,099.51
  6. Step 6: Final answer
    x = 1,080.65

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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.