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Finding the Fourth Proportional to 827.68, 1,140.16 and 696.64

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Solution

The fourth proportional to 827.68, 1,140.16 and 696.64 is: 959.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.68 : 1,140.16 = 696.64 : x
  2. Step 2: Convert to fraction form
    827.68/1,140.16 = 696.64/x
  3. Step 3: Cross multiply
    827.68x = 1,140.16 × 696.64
  4. Step 4: Simplify right side
    827.68x = 794,281.06
  5. Step 5: Solve for x
    x = 794,281.06/827.68
  6. Step 6: Final answer
    x = 959.65

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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.