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Finding the Fourth Proportional to 821.53, 1,230.27 and 512.92

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Solution

The fourth proportional to 821.53, 1,230.27 and 512.92 is: 768.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.53 : 1,230.27 = 512.92 : x
  2. Step 2: Convert to fraction form
    821.53/1,230.27 = 512.92/x
  3. Step 3: Cross multiply
    821.53x = 1,230.27 × 512.92
  4. Step 4: Simplify right side
    821.53x = 631,030.09
  5. Step 5: Solve for x
    x = 631,030.09/821.53
  6. Step 6: Final answer
    x = 768.12

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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.