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Finding the Fourth Proportional to 1,289.99, 1,784.88 and 1,124.55

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Solution

The fourth proportional to 1,289.99, 1,784.88 and 1,124.55 is: 1,555.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.99 : 1,784.88 = 1,124.55 : x
  2. Step 2: Convert to fraction form
    1,289.99/1,784.88 = 1,124.55/x
  3. Step 3: Cross multiply
    1,289.99x = 1,784.88 × 1,124.55
  4. Step 4: Simplify right side
    1,289.99x = 2,007,181.18
  5. Step 5: Solve for x
    x = 2,007,181.18/1,289.99
  6. Step 6: Final answer
    x = 1,555.97

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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.