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Finding the Fourth Proportional to 1,099, 1,640.53 and 1,017.71

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Solution

The fourth proportional to 1,099, 1,640.53 and 1,017.71 is: 1,519.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099 : 1,640.53 = 1,017.71 : x
  2. Step 2: Convert to fraction form
    1,099/1,640.53 = 1,017.71/x
  3. Step 3: Cross multiply
    1,099x = 1,640.53 × 1,017.71
  4. Step 4: Simplify right side
    1,099x = 1,669,583.79
  5. Step 5: Solve for x
    x = 1,669,583.79/1,099
  6. Step 6: Final answer
    x = 1,519.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.