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Finding the Fourth Proportional to 821.92, 1,134.25 and 448.90

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Solution

The fourth proportional to 821.92, 1,134.25 and 448.90 is: 619.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.92 : 1,134.25 = 448.90 : x
  2. Step 2: Convert to fraction form
    821.92/1,134.25 = 448.90/x
  3. Step 3: Cross multiply
    821.92x = 1,134.25 × 448.90
  4. Step 4: Simplify right side
    821.92x = 509,156.91
  5. Step 5: Solve for x
    x = 509,156.91/821.92
  6. Step 6: Final answer
    x = 619.47

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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.