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Finding the Fourth Proportional to 1,348.84, 1,859.70 and 1,099.90

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Solution

The fourth proportional to 1,348.84, 1,859.70 and 1,099.90 is: 1,516.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.84 : 1,859.70 = 1,099.90 : x
  2. Step 2: Convert to fraction form
    1,348.84/1,859.70 = 1,099.90/x
  3. Step 3: Cross multiply
    1,348.84x = 1,859.70 × 1,099.90
  4. Step 4: Simplify right side
    1,348.84x = 2,045,484.03
  5. Step 5: Solve for x
    x = 2,045,484.03/1,348.84
  6. Step 6: Final answer
    x = 1,516.48

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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.