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Finding the Fourth Proportional to 1,289.42, 1,780.86 and 849.29

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Solution

The fourth proportional to 1,289.42, 1,780.86 and 849.29 is: 1,172.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.42 : 1,780.86 = 849.29 : x
  2. Step 2: Convert to fraction form
    1,289.42/1,780.86 = 849.29/x
  3. Step 3: Cross multiply
    1,289.42x = 1,780.86 × 849.29
  4. Step 4: Simplify right side
    1,289.42x = 1,512,457.69
  5. Step 5: Solve for x
    x = 1,512,457.69/1,289.42
  6. Step 6: Final answer
    x = 1,172.98

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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.