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Finding the Fourth Proportional to 923.82, 1,378.14 and 857.53

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Solution

The fourth proportional to 923.82, 1,378.14 and 857.53 is: 1,279.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.82 : 1,378.14 = 857.53 : x
  2. Step 2: Convert to fraction form
    923.82/1,378.14 = 857.53/x
  3. Step 3: Cross multiply
    923.82x = 1,378.14 × 857.53
  4. Step 4: Simplify right side
    923.82x = 1,181,785.22
  5. Step 5: Solve for x
    x = 1,181,785.22/923.82
  6. Step 6: Final answer
    x = 1,279.24

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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.