Home / 1,159.52-1,738.74-428.60

Finding the Fourth Proportional to 1,159.52, 1,738.74 and 428.60

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Solution

The fourth proportional to 1,159.52, 1,738.74 and 428.60 is: 642.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.52 : 1,738.74 = 428.60 : x
  2. Step 2: Convert to fraction form
    1,159.52/1,738.74 = 428.60/x
  3. Step 3: Cross multiply
    1,159.52x = 1,738.74 × 428.60
  4. Step 4: Simplify right side
    1,159.52x = 745,223.96
  5. Step 5: Solve for x
    x = 745,223.96/1,159.52
  6. Step 6: Final answer
    x = 642.70

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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.