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Finding the Fourth Proportional to 821.23, 1,133.32 and 448.24

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Solution

The fourth proportional to 821.23, 1,133.32 and 448.24 is: 618.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.23 : 1,133.32 = 448.24 : x
  2. Step 2: Convert to fraction form
    821.23/1,133.32 = 448.24/x
  3. Step 3: Cross multiply
    821.23x = 1,133.32 × 448.24
  4. Step 4: Simplify right side
    821.23x = 507,995.37
  5. Step 5: Solve for x
    x = 507,995.37/821.23
  6. Step 6: Final answer
    x = 618.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.