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Finding the Fourth Proportional to 2,291, 3,436.68 and 647.60

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Solution

The fourth proportional to 2,291, 3,436.68 and 647.60 is: 971.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291 : 3,436.68 = 647.60 : x
  2. Step 2: Convert to fraction form
    2,291/3,436.68 = 647.60/x
  3. Step 3: Cross multiply
    2,291x = 3,436.68 × 647.60
  4. Step 4: Simplify right side
    2,291x = 2,225,593.97
  5. Step 5: Solve for x
    x = 2,225,593.97/2,291
  6. Step 6: Final answer
    x = 971.45

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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.