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Finding the Fourth Proportional to 821.53, 1,133.71 and 448.50

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Solution

The fourth proportional to 821.53, 1,133.71 and 448.50 is: 618.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.53 : 1,133.71 = 448.50 : x
  2. Step 2: Convert to fraction form
    821.53/1,133.71 = 448.50/x
  3. Step 3: Cross multiply
    821.53x = 1,133.71 × 448.50
  4. Step 4: Simplify right side
    821.53x = 508,468.94
  5. Step 5: Solve for x
    x = 508,468.94/821.53
  6. Step 6: Final answer
    x = 618.93

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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.