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Finding the Fourth Proportional to 1,261.81, 1,892.26 and 603.45

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Solution

The fourth proportional to 1,261.81, 1,892.26 and 603.45 is: 904.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.81 : 1,892.26 = 603.45 : x
  2. Step 2: Convert to fraction form
    1,261.81/1,892.26 = 603.45/x
  3. Step 3: Cross multiply
    1,261.81x = 1,892.26 × 603.45
  4. Step 4: Simplify right side
    1,261.81x = 1,141,885.05
  5. Step 5: Solve for x
    x = 1,141,885.05/1,261.81
  6. Step 6: Final answer
    x = 904.96

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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.