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Finding the Fourth Proportional to 1,289.46, 1,778.78 and 816.52

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Solution

The fourth proportional to 1,289.46, 1,778.78 and 816.52 is: 1,126.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.46 : 1,778.78 = 816.52 : x
  2. Step 2: Convert to fraction form
    1,289.46/1,778.78 = 816.52/x
  3. Step 3: Cross multiply
    1,289.46x = 1,778.78 × 816.52
  4. Step 4: Simplify right side
    1,289.46x = 1,452,405.36
  5. Step 5: Solve for x
    x = 1,452,405.36/1,289.46
  6. Step 6: Final answer
    x = 1,126.37

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1.5x scale

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.