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Finding the Fourth Proportional to 1,143.09, 1,577.19 and 694.83

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Solution

The fourth proportional to 1,143.09, 1,577.19 and 694.83 is: 958.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.09 : 1,577.19 = 694.83 : x
  2. Step 2: Convert to fraction form
    1,143.09/1,577.19 = 694.83/x
  3. Step 3: Cross multiply
    1,143.09x = 1,577.19 × 694.83
  4. Step 4: Simplify right side
    1,143.09x = 1,095,878.93
  5. Step 5: Solve for x
    x = 1,095,878.93/1,143.09
  6. Step 6: Final answer
    x = 958.70

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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.