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Finding the Fourth Proportional to 2,297.63, 3,445.42 and 653.79

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Solution

The fourth proportional to 2,297.63, 3,445.42 and 653.79 is: 980.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.63 : 3,445.42 = 653.79 : x
  2. Step 2: Convert to fraction form
    2,297.63/3,445.42 = 653.79/x
  3. Step 3: Cross multiply
    2,297.63x = 3,445.42 × 653.79
  4. Step 4: Simplify right side
    2,297.63x = 2,252,594.17
  5. Step 5: Solve for x
    x = 2,252,594.17/2,297.63
  6. Step 6: Final answer
    x = 980.40

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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.