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Finding the Fourth Proportional to 823.55, 1,135.11 and 624.31

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Solution

The fourth proportional to 823.55, 1,135.11 and 624.31 is: 860.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.55 : 1,135.11 = 624.31 : x
  2. Step 2: Convert to fraction form
    823.55/1,135.11 = 624.31/x
  3. Step 3: Cross multiply
    823.55x = 1,135.11 × 624.31
  4. Step 4: Simplify right side
    823.55x = 708,664.07
  5. Step 5: Solve for x
    x = 708,664.07/823.55
  6. Step 6: Final answer
    x = 860.50

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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.