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Finding the Fourth Proportional to 821.39, 1,230.45 and 474.50

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Solution

The fourth proportional to 821.39, 1,230.45 and 474.50 is: 710.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.39 : 1,230.45 = 474.50 : x
  2. Step 2: Convert to fraction form
    821.39/1,230.45 = 474.50/x
  3. Step 3: Cross multiply
    821.39x = 1,230.45 × 474.50
  4. Step 4: Simplify right side
    821.39x = 583,851.60
  5. Step 5: Solve for x
    x = 583,851.60/821.39
  6. Step 6: Final answer
    x = 710.81

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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.