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Finding the Fourth Proportional to 2,290.78, 3,436.12 and 647.31

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Solution

The fourth proportional to 2,290.78, 3,436.12 and 647.31 is: 970.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.78 : 3,436.12 = 647.31 : x
  2. Step 2: Convert to fraction form
    2,290.78/3,436.12 = 647.31/x
  3. Step 3: Cross multiply
    2,290.78x = 3,436.12 × 647.31
  4. Step 4: Simplify right side
    2,290.78x = 2,224,214.42
  5. Step 5: Solve for x
    x = 2,224,214.42/2,290.78
  6. Step 6: Final answer
    x = 970.94

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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.