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Finding the Fourth Proportional to 1,270.43, 1,904.36 and 859.61

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Solution

The fourth proportional to 1,270.43, 1,904.36 and 859.61 is: 1,288.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.43 : 1,904.36 = 859.61 : x
  2. Step 2: Convert to fraction form
    1,270.43/1,904.36 = 859.61/x
  3. Step 3: Cross multiply
    1,270.43x = 1,904.36 × 859.61
  4. Step 4: Simplify right side
    1,270.43x = 1,637,012.20
  5. Step 5: Solve for x
    x = 1,637,012.20/1,270.43
  6. Step 6: Final answer
    x = 1,288.55

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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.