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Finding the Fourth Proportional to 1,293.17, 1,785.18 and 827.69

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Solution

The fourth proportional to 1,293.17, 1,785.18 and 827.69 is: 1,142.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.17 : 1,785.18 = 827.69 : x
  2. Step 2: Convert to fraction form
    1,293.17/1,785.18 = 827.69/x
  3. Step 3: Cross multiply
    1,293.17x = 1,785.18 × 827.69
  4. Step 4: Simplify right side
    1,293.17x = 1,477,575.63
  5. Step 5: Solve for x
    x = 1,477,575.63/1,293.17
  6. Step 6: Final answer
    x = 1,142.60

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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.