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Finding the Fourth Proportional to 821.93, 1,230.93 and 474.54

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Solution

The fourth proportional to 821.93, 1,230.93 and 474.54 is: 710.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.93 : 1,230.93 = 474.54 : x
  2. Step 2: Convert to fraction form
    821.93/1,230.93 = 474.54/x
  3. Step 3: Cross multiply
    821.93x = 1,230.93 × 474.54
  4. Step 4: Simplify right side
    821.93x = 584,125.52
  5. Step 5: Solve for x
    x = 584,125.52/821.93
  6. Step 6: Final answer
    x = 710.68

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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.