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Finding the Fourth Proportional to 1,159.43, 1,738.78 and 389.75

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Solution

The fourth proportional to 1,159.43, 1,738.78 and 389.75 is: 584.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.43 : 1,738.78 = 389.75 : x
  2. Step 2: Convert to fraction form
    1,159.43/1,738.78 = 389.75/x
  3. Step 3: Cross multiply
    1,159.43x = 1,738.78 × 389.75
  4. Step 4: Simplify right side
    1,159.43x = 677,689.51
  5. Step 5: Solve for x
    x = 677,689.51/1,159.43
  6. Step 6: Final answer
    x = 584.50

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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.