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Finding the Fourth Proportional to 2,290.92, 3,436.28 and 647.42

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Solution

The fourth proportional to 2,290.92, 3,436.28 and 647.42 is: 971.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.92 : 3,436.28 = 647.42 : x
  2. Step 2: Convert to fraction form
    2,290.92/3,436.28 = 647.42/x
  3. Step 3: Cross multiply
    2,290.92x = 3,436.28 × 647.42
  4. Step 4: Simplify right side
    2,290.92x = 2,224,716.40
  5. Step 5: Solve for x
    x = 2,224,716.40/2,290.92
  6. Step 6: Final answer
    x = 971.10

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1.5x scale

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.