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Finding the Fourth Proportional to 1,129.63, 1,694.46 and 436.63

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Solution

The fourth proportional to 1,129.63, 1,694.46 and 436.63 is: 654.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.63 : 1,694.46 = 436.63 : x
  2. Step 2: Convert to fraction form
    1,129.63/1,694.46 = 436.63/x
  3. Step 3: Cross multiply
    1,129.63x = 1,694.46 × 436.63
  4. Step 4: Simplify right side
    1,129.63x = 739,852.07
  5. Step 5: Solve for x
    x = 739,852.07/1,129.63
  6. Step 6: Final answer
    x = 654.95

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Double scale
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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.