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Finding the Fourth Proportional to 821.55, 1,232.26 and 512.34

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Solution

The fourth proportional to 821.55, 1,232.26 and 512.34 is: 768.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.55 : 1,232.26 = 512.34 : x
  2. Step 2: Convert to fraction form
    821.55/1,232.26 = 512.34/x
  3. Step 3: Cross multiply
    821.55x = 1,232.26 × 512.34
  4. Step 4: Simplify right side
    821.55x = 631,330.19
  5. Step 5: Solve for x
    x = 631,330.19/821.55
  6. Step 6: Final answer
    x = 768.46

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Double scale
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1.5x scale

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.