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Finding the Fourth Proportional to 811.63, 1,120.06 and 452.76

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Solution

The fourth proportional to 811.63, 1,120.06 and 452.76 is: 624.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.63 : 1,120.06 = 452.76 : x
  2. Step 2: Convert to fraction form
    811.63/1,120.06 = 452.76/x
  3. Step 3: Cross multiply
    811.63x = 1,120.06 × 452.76
  4. Step 4: Simplify right side
    811.63x = 507,114.73
  5. Step 5: Solve for x
    x = 507,114.73/811.63
  6. Step 6: Final answer
    x = 624.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.