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Finding the Fourth Proportional to 2,265.64, 3,398.10 and 622.30

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Solution

The fourth proportional to 2,265.64, 3,398.10 and 622.30 is: 933.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.64 : 3,398.10 = 622.30 : x
  2. Step 2: Convert to fraction form
    2,265.64/3,398.10 = 622.30/x
  3. Step 3: Cross multiply
    2,265.64x = 3,398.10 × 622.30
  4. Step 4: Simplify right side
    2,265.64x = 2,114,637.63
  5. Step 5: Solve for x
    x = 2,114,637.63/2,265.64
  6. Step 6: Final answer
    x = 933.35

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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.