Home / 1,159.12-1,738.60-428.36

Finding the Fourth Proportional to 1,159.12, 1,738.60 and 428.36

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Solution

The fourth proportional to 1,159.12, 1,738.60 and 428.36 is: 642.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.12 : 1,738.60 = 428.36 : x
  2. Step 2: Convert to fraction form
    1,159.12/1,738.60 = 428.36/x
  3. Step 3: Cross multiply
    1,159.12x = 1,738.60 × 428.36
  4. Step 4: Simplify right side
    1,159.12x = 744,746.70
  5. Step 5: Solve for x
    x = 744,746.70/1,159.12
  6. Step 6: Final answer
    x = 642.51

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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.