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Finding the Fourth Proportional to 827.36, 1,246.64 and 686.24

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Solution

The fourth proportional to 827.36, 1,246.64 and 686.24 is: 1,034.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.36 : 1,246.64 = 686.24 : x
  2. Step 2: Convert to fraction form
    827.36/1,246.64 = 686.24/x
  3. Step 3: Cross multiply
    827.36x = 1,246.64 × 686.24
  4. Step 4: Simplify right side
    827.36x = 855,494.23
  5. Step 5: Solve for x
    x = 855,494.23/827.36
  6. Step 6: Final answer
    x = 1,034.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.