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Finding the Fourth Proportional to 811.56, 1,120.31 and 624.98

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Solution

The fourth proportional to 811.56, 1,120.31 and 624.98 is: 862.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.56 : 1,120.31 = 624.98 : x
  2. Step 2: Convert to fraction form
    811.56/1,120.31 = 624.98/x
  3. Step 3: Cross multiply
    811.56x = 1,120.31 × 624.98
  4. Step 4: Simplify right side
    811.56x = 700,162.62
  5. Step 5: Solve for x
    x = 700,162.62/811.56
  6. Step 6: Final answer
    x = 862.74

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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.