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Finding the Fourth Proportional to 1,143.01, 1,711.75 and 654.58

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Solution

The fourth proportional to 1,143.01, 1,711.75 and 654.58 is: 980.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.01 : 1,711.75 = 654.58 : x
  2. Step 2: Convert to fraction form
    1,143.01/1,711.75 = 654.58/x
  3. Step 3: Cross multiply
    1,143.01x = 1,711.75 × 654.58
  4. Step 4: Simplify right side
    1,143.01x = 1,120,477.32
  5. Step 5: Solve for x
    x = 1,120,477.32/1,143.01
  6. Step 6: Final answer
    x = 980.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.