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Finding the Fourth Proportional to 821.36, 1,232.40 and 602.20

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Solution

The fourth proportional to 821.36, 1,232.40 and 602.20 is: 903.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.36 : 1,232.40 = 602.20 : x
  2. Step 2: Convert to fraction form
    821.36/1,232.40 = 602.20/x
  3. Step 3: Cross multiply
    821.36x = 1,232.40 × 602.20
  4. Step 4: Simplify right side
    821.36x = 742,151.28
  5. Step 5: Solve for x
    x = 742,151.28/821.36
  6. Step 6: Final answer
    x = 903.56

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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.