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Finding the Fourth Proportional to 811.57, 1,120.50 and 624.73

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Solution

The fourth proportional to 811.57, 1,120.50 and 624.73 is: 862.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.57 : 1,120.50 = 624.73 : x
  2. Step 2: Convert to fraction form
    811.57/1,120.50 = 624.73/x
  3. Step 3: Cross multiply
    811.57x = 1,120.50 × 624.73
  4. Step 4: Simplify right side
    811.57x = 700,009.97
  5. Step 5: Solve for x
    x = 700,009.97/811.57
  6. Step 6: Final answer
    x = 862.54

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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.