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Finding the Fourth Proportional to 1,143.46, 1,577.37 and 812.02

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Solution

The fourth proportional to 1,143.46, 1,577.37 and 812.02 is: 1,120.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.46 : 1,577.37 = 812.02 : x
  2. Step 2: Convert to fraction form
    1,143.46/1,577.37 = 812.02/x
  3. Step 3: Cross multiply
    1,143.46x = 1,577.37 × 812.02
  4. Step 4: Simplify right side
    1,143.46x = 1,280,855.99
  5. Step 5: Solve for x
    x = 1,280,855.99/1,143.46
  6. Step 6: Final answer
    x = 1,120.16

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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.