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Finding the Fourth Proportional to 2,274.77, 3,412.22 and 631.44

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Solution

The fourth proportional to 2,274.77, 3,412.22 and 631.44 is: 947.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.77 : 3,412.22 = 631.44 : x
  2. Step 2: Convert to fraction form
    2,274.77/3,412.22 = 631.44/x
  3. Step 3: Cross multiply
    2,274.77x = 3,412.22 × 631.44
  4. Step 4: Simplify right side
    2,274.77x = 2,154,605.24
  5. Step 5: Solve for x
    x = 2,154,605.24/2,274.77
  6. Step 6: Final answer
    x = 947.17

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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.