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Finding the Fourth Proportional to 1,975.23, 2,962.78 and 805.23

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Solution

The fourth proportional to 1,975.23, 2,962.78 and 805.23 is: 1,207.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,975.23 : 2,962.78 = 805.23 : x
  2. Step 2: Convert to fraction form
    1,975.23/2,962.78 = 805.23/x
  3. Step 3: Cross multiply
    1,975.23x = 2,962.78 × 805.23
  4. Step 4: Simplify right side
    1,975.23x = 2,385,719.34
  5. Step 5: Solve for x
    x = 2,385,719.34/1,975.23
  6. Step 6: Final answer
    x = 1,207.82

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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.