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Finding the Fourth Proportional to 903.82, 1,247.37 and 848.20

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Solution

The fourth proportional to 903.82, 1,247.37 and 848.20 is: 1,170.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.82 : 1,247.37 = 848.20 : x
  2. Step 2: Convert to fraction form
    903.82/1,247.37 = 848.20/x
  3. Step 3: Cross multiply
    903.82x = 1,247.37 × 848.20
  4. Step 4: Simplify right side
    903.82x = 1,058,019.23
  5. Step 5: Solve for x
    x = 1,058,019.23/903.82
  6. Step 6: Final answer
    x = 1,170.61

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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.