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Finding the Fourth Proportional to 2,290.70, 3,436.60 and 647.22

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Solution

The fourth proportional to 2,290.70, 3,436.60 and 647.22 is: 970.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.70 : 3,436.60 = 647.22 : x
  2. Step 2: Convert to fraction form
    2,290.70/3,436.60 = 647.22/x
  3. Step 3: Cross multiply
    2,290.70x = 3,436.60 × 647.22
  4. Step 4: Simplify right side
    2,290.70x = 2,224,236.25
  5. Step 5: Solve for x
    x = 2,224,236.25/2,290.70
  6. Step 6: Final answer
    x = 970.99

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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.