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Finding the Fourth Proportional to 821.44, 1,133.58 and 448.42

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Solution

The fourth proportional to 821.44, 1,133.58 and 448.42 is: 618.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.44 : 1,133.58 = 448.42 : x
  2. Step 2: Convert to fraction form
    821.44/1,133.58 = 448.42/x
  3. Step 3: Cross multiply
    821.44x = 1,133.58 × 448.42
  4. Step 4: Simplify right side
    821.44x = 508,317.89
  5. Step 5: Solve for x
    x = 508,317.89/821.44
  6. Step 6: Final answer
    x = 618.81

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1.5x scale

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.