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Finding the Fourth Proportional to 812.57, 1,119.60 and 550.13

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Solution

The fourth proportional to 812.57, 1,119.60 and 550.13 is: 758.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.57 : 1,119.60 = 550.13 : x
  2. Step 2: Convert to fraction form
    812.57/1,119.60 = 550.13/x
  3. Step 3: Cross multiply
    812.57x = 1,119.60 × 550.13
  4. Step 4: Simplify right side
    812.57x = 615,925.55
  5. Step 5: Solve for x
    x = 615,925.55/812.57
  6. Step 6: Final answer
    x = 758.00

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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.