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Finding the Fourth Proportional to 1,449.19, 1,999.89 and 859.71

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Solution

The fourth proportional to 1,449.19, 1,999.89 and 859.71 is: 1,186.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449.19 : 1,999.89 = 859.71 : x
  2. Step 2: Convert to fraction form
    1,449.19/1,999.89 = 859.71/x
  3. Step 3: Cross multiply
    1,449.19x = 1,999.89 × 859.71
  4. Step 4: Simplify right side
    1,449.19x = 1,719,332.93
  5. Step 5: Solve for x
    x = 1,719,332.93/1,449.19
  6. Step 6: Final answer
    x = 1,186.41

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1.5x scale

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.