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Finding the Fourth Proportional to 1,085.26, 1,627.96 and 436.00

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Solution

The fourth proportional to 1,085.26, 1,627.96 and 436.00 is: 654.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.26 : 1,627.96 = 436.00 : x
  2. Step 2: Convert to fraction form
    1,085.26/1,627.96 = 436.00/x
  3. Step 3: Cross multiply
    1,085.26x = 1,627.96 × 436.00
  4. Step 4: Simplify right side
    1,085.26x = 709,782.97
  5. Step 5: Solve for x
    x = 709,782.97/1,085.26
  6. Step 6: Final answer
    x = 654.02

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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.