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Finding the Fourth Proportional to 822.23, 1,232.26 and 389.51

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Solution

The fourth proportional to 822.23, 1,232.26 and 389.51 is: 583.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.23 : 1,232.26 = 389.51 : x
  2. Step 2: Convert to fraction form
    822.23/1,232.26 = 389.51/x
  3. Step 3: Cross multiply
    822.23x = 1,232.26 × 389.51
  4. Step 4: Simplify right side
    822.23x = 479,970.46
  5. Step 5: Solve for x
    x = 479,970.46/822.23
  6. Step 6: Final answer
    x = 583.75

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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.