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Finding the Fourth Proportional to 821.79, 1,230.71 and 474.39

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Solution

The fourth proportional to 821.79, 1,230.71 and 474.39 is: 710.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.79 : 1,230.71 = 474.39 : x
  2. Step 2: Convert to fraction form
    821.79/1,230.71 = 474.39/x
  3. Step 3: Cross multiply
    821.79x = 1,230.71 × 474.39
  4. Step 4: Simplify right side
    821.79x = 583,834.14
  5. Step 5: Solve for x
    x = 583,834.14/821.79
  6. Step 6: Final answer
    x = 710.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.