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Finding the Fourth Proportional to 1,085.27, 1,627.70 and 435.85

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Solution

The fourth proportional to 1,085.27, 1,627.70 and 435.85 is: 653.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.27 : 1,627.70 = 435.85 : x
  2. Step 2: Convert to fraction form
    1,085.27/1,627.70 = 435.85/x
  3. Step 3: Cross multiply
    1,085.27x = 1,627.70 × 435.85
  4. Step 4: Simplify right side
    1,085.27x = 709,426.80
  5. Step 5: Solve for x
    x = 709,426.80/1,085.27
  6. Step 6: Final answer
    x = 653.69

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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.