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Finding the Fourth Proportional to 1,259.45, 1,889.15 and 334.97

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Solution

The fourth proportional to 1,259.45, 1,889.15 and 334.97 is: 502.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.45 : 1,889.15 = 334.97 : x
  2. Step 2: Convert to fraction form
    1,259.45/1,889.15 = 334.97/x
  3. Step 3: Cross multiply
    1,259.45x = 1,889.15 × 334.97
  4. Step 4: Simplify right side
    1,259.45x = 632,811.62
  5. Step 5: Solve for x
    x = 632,811.62/1,259.45
  6. Step 6: Final answer
    x = 502.45

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1.5x scale

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.