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Finding the Fourth Proportional to 1,425.81, 1,967.63 and 902.55

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Solution

The fourth proportional to 1,425.81, 1,967.63 and 902.55 is: 1,245.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,425.81 : 1,967.63 = 902.55 : x
  2. Step 2: Convert to fraction form
    1,425.81/1,967.63 = 902.55/x
  3. Step 3: Cross multiply
    1,425.81x = 1,967.63 × 902.55
  4. Step 4: Simplify right side
    1,425.81x = 1,775,884.46
  5. Step 5: Solve for x
    x = 1,775,884.46/1,425.81
  6. Step 6: Final answer
    x = 1,245.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.