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Finding the Fourth Proportional to 2,290.74, 3,435.68 and 647.27

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Solution

The fourth proportional to 2,290.74, 3,435.68 and 647.27 is: 970.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.74 : 3,435.68 = 647.27 : x
  2. Step 2: Convert to fraction form
    2,290.74/3,435.68 = 647.27/x
  3. Step 3: Cross multiply
    2,290.74x = 3,435.68 × 647.27
  4. Step 4: Simplify right side
    2,290.74x = 2,223,809.36
  5. Step 5: Solve for x
    x = 2,223,809.36/2,290.74
  6. Step 6: Final answer
    x = 970.78

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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.