Home / 1,159.51-1,738.21-428.90

Finding the Fourth Proportional to 1,159.51, 1,738.21 and 428.90

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Solution

The fourth proportional to 1,159.51, 1,738.21 and 428.90 is: 642.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.51 : 1,738.21 = 428.90 : x
  2. Step 2: Convert to fraction form
    1,159.51/1,738.21 = 428.90/x
  3. Step 3: Cross multiply
    1,159.51x = 1,738.21 × 428.90
  4. Step 4: Simplify right side
    1,159.51x = 745,518.27
  5. Step 5: Solve for x
    x = 745,518.27/1,159.51
  6. Step 6: Final answer
    x = 642.96

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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.