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Finding the Fourth Proportional to 2,274.65, 3,412.04 and 631.31

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Solution

The fourth proportional to 2,274.65, 3,412.04 and 631.31 is: 946.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.65 : 3,412.04 = 631.31 : x
  2. Step 2: Convert to fraction form
    2,274.65/3,412.04 = 631.31/x
  3. Step 3: Cross multiply
    2,274.65x = 3,412.04 × 631.31
  4. Step 4: Simplify right side
    2,274.65x = 2,154,060.35
  5. Step 5: Solve for x
    x = 2,154,060.35/2,274.65
  6. Step 6: Final answer
    x = 946.99

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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.