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Finding the Fourth Proportional to 1,084.90, 1,627.44 and 435.82

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Solution

The fourth proportional to 1,084.90, 1,627.44 and 435.82 is: 653.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.90 : 1,627.44 = 435.82 : x
  2. Step 2: Convert to fraction form
    1,084.90/1,627.44 = 435.82/x
  3. Step 3: Cross multiply
    1,084.90x = 1,627.44 × 435.82
  4. Step 4: Simplify right side
    1,084.90x = 709,270.90
  5. Step 5: Solve for x
    x = 709,270.90/1,084.90
  6. Step 6: Final answer
    x = 653.77

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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.