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Finding the Fourth Proportional to 827.08, 1,143.14 and 652.12

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Solution

The fourth proportional to 827.08, 1,143.14 and 652.12 is: 901.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.08 : 1,143.14 = 652.12 : x
  2. Step 2: Convert to fraction form
    827.08/1,143.14 = 652.12/x
  3. Step 3: Cross multiply
    827.08x = 1,143.14 × 652.12
  4. Step 4: Simplify right side
    827.08x = 745,464.46
  5. Step 5: Solve for x
    x = 745,464.46/827.08
  6. Step 6: Final answer
    x = 901.32

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Double scale
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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.