Home / 1,158.39-1,738.51-428.02

Finding the Fourth Proportional to 1,158.39, 1,738.51 and 428.02

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Solution

The fourth proportional to 1,158.39, 1,738.51 and 428.02 is: 642.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.39 : 1,738.51 = 428.02 : x
  2. Step 2: Convert to fraction form
    1,158.39/1,738.51 = 428.02/x
  3. Step 3: Cross multiply
    1,158.39x = 1,738.51 × 428.02
  4. Step 4: Simplify right side
    1,158.39x = 744,111.63
  5. Step 5: Solve for x
    x = 744,111.63/1,158.39
  6. Step 6: Final answer
    x = 642.37

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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.