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Finding the Fourth Proportional to 823.91, 1,137.05 and 474.60

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Solution

The fourth proportional to 823.91, 1,137.05 and 474.60 is: 654.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.91 : 1,137.05 = 474.60 : x
  2. Step 2: Convert to fraction form
    823.91/1,137.05 = 474.60/x
  3. Step 3: Cross multiply
    823.91x = 1,137.05 × 474.60
  4. Step 4: Simplify right side
    823.91x = 539,641.56
  5. Step 5: Solve for x
    x = 539,641.56/823.91
  6. Step 6: Final answer
    x = 654.98

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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.