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Finding the Fourth Proportional to 1,638.75, 2,459.34 and 907.59

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Solution

The fourth proportional to 1,638.75, 2,459.34 and 907.59 is: 1,362.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.75 : 2,459.34 = 907.59 : x
  2. Step 2: Convert to fraction form
    1,638.75/2,459.34 = 907.59/x
  3. Step 3: Cross multiply
    1,638.75x = 2,459.34 × 907.59
  4. Step 4: Simplify right side
    1,638.75x = 2,232,072.39
  5. Step 5: Solve for x
    x = 2,232,072.39/1,638.75
  6. Step 6: Final answer
    x = 1,362.06

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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.