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Finding the Fourth Proportional to 1,690.47, 2,333.24 and 1,099.98

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Solution

The fourth proportional to 1,690.47, 2,333.24 and 1,099.98 is: 1,518.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690.47 : 2,333.24 = 1,099.98 : x
  2. Step 2: Convert to fraction form
    1,690.47/2,333.24 = 1,099.98/x
  3. Step 3: Cross multiply
    1,690.47x = 2,333.24 × 1,099.98
  4. Step 4: Simplify right side
    1,690.47x = 2,566,515.96
  5. Step 5: Solve for x
    x = 2,566,515.96/1,690.47
  6. Step 6: Final answer
    x = 1,518.23

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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.