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Finding the Fourth Proportional to 2,275.63, 3,412.40 and 715.25

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Solution

The fourth proportional to 2,275.63, 3,412.40 and 715.25 is: 1,072.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.63 : 3,412.40 = 715.25 : x
  2. Step 2: Convert to fraction form
    2,275.63/3,412.40 = 715.25/x
  3. Step 3: Cross multiply
    2,275.63x = 3,412.40 × 715.25
  4. Step 4: Simplify right side
    2,275.63x = 2,440,724.05
  5. Step 5: Solve for x
    x = 2,440,724.05/2,275.63
  6. Step 6: Final answer
    x = 1,072.55

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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.