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Finding the Fourth Proportional to 1,289.81, 1,933.08 and 558.59

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Solution

The fourth proportional to 1,289.81, 1,933.08 and 558.59 is: 837.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.81 : 1,933.08 = 558.59 : x
  2. Step 2: Convert to fraction form
    1,289.81/1,933.08 = 558.59/x
  3. Step 3: Cross multiply
    1,289.81x = 1,933.08 × 558.59
  4. Step 4: Simplify right side
    1,289.81x = 1,079,789.49
  5. Step 5: Solve for x
    x = 1,079,789.49/1,289.81
  6. Step 6: Final answer
    x = 837.17

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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.