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Finding the Fourth Proportional to 812.02, 1,120.05 and 750.50

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Solution

The fourth proportional to 812.02, 1,120.05 and 750.50 is: 1,035.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.02 : 1,120.05 = 750.50 : x
  2. Step 2: Convert to fraction form
    812.02/1,120.05 = 750.50/x
  3. Step 3: Cross multiply
    812.02x = 1,120.05 × 750.50
  4. Step 4: Simplify right side
    812.02x = 840,597.53
  5. Step 5: Solve for x
    x = 840,597.53/812.02
  6. Step 6: Final answer
    x = 1,035.19

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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.