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Finding the Fourth Proportional to 821.93, 1,233.72 and 383.48

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Solution

The fourth proportional to 821.93, 1,233.72 and 383.48 is: 575.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.93 : 1,233.72 = 383.48 : x
  2. Step 2: Convert to fraction form
    821.93/1,233.72 = 383.48/x
  3. Step 3: Cross multiply
    821.93x = 1,233.72 × 383.48
  4. Step 4: Simplify right side
    821.93x = 473,106.95
  5. Step 5: Solve for x
    x = 473,106.95/821.93
  6. Step 6: Final answer
    x = 575.60

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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.