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Finding the Fourth Proportional to 1,143.74, 1,574.24 and 811.58

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Solution

The fourth proportional to 1,143.74, 1,574.24 and 811.58 is: 1,117.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.74 : 1,574.24 = 811.58 : x
  2. Step 2: Convert to fraction form
    1,143.74/1,574.24 = 811.58/x
  3. Step 3: Cross multiply
    1,143.74x = 1,574.24 × 811.58
  4. Step 4: Simplify right side
    1,143.74x = 1,277,609.77
  5. Step 5: Solve for x
    x = 1,277,609.77/1,143.74
  6. Step 6: Final answer
    x = 1,117.05

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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.