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Finding the Fourth Proportional to 1,243.05, 1,715.93 and 839.35

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Solution

The fourth proportional to 1,243.05, 1,715.93 and 839.35 is: 1,158.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.05 : 1,715.93 = 839.35 : x
  2. Step 2: Convert to fraction form
    1,243.05/1,715.93 = 839.35/x
  3. Step 3: Cross multiply
    1,243.05x = 1,715.93 × 839.35
  4. Step 4: Simplify right side
    1,243.05x = 1,440,265.85
  5. Step 5: Solve for x
    x = 1,440,265.85/1,243.05
  6. Step 6: Final answer
    x = 1,158.65

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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.