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Finding the Fourth Proportional to 945.82, 1,409.36 and 903.97

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Solution

The fourth proportional to 945.82, 1,409.36 and 903.97 is: 1,347.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.82 : 1,409.36 = 903.97 : x
  2. Step 2: Convert to fraction form
    945.82/1,409.36 = 903.97/x
  3. Step 3: Cross multiply
    945.82x = 1,409.36 × 903.97
  4. Step 4: Simplify right side
    945.82x = 1,274,019.16
  5. Step 5: Solve for x
    x = 1,274,019.16/945.82
  6. Step 6: Final answer
    x = 1,347.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.