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Finding the Fourth Proportional to 821.63, 1,133.84 and 448.63

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Solution

The fourth proportional to 821.63, 1,133.84 and 448.63 is: 619.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.63 : 1,133.84 = 448.63 : x
  2. Step 2: Convert to fraction form
    821.63/1,133.84 = 448.63/x
  3. Step 3: Cross multiply
    821.63x = 1,133.84 × 448.63
  4. Step 4: Simplify right side
    821.63x = 508,672.93
  5. Step 5: Solve for x
    x = 508,672.93/821.63
  6. Step 6: Final answer
    x = 619.10

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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.