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Finding the Fourth Proportional to 923.77, 1,378.51 and 825.21

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Solution

The fourth proportional to 923.77, 1,378.51 and 825.21 is: 1,231.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.77 : 1,378.51 = 825.21 : x
  2. Step 2: Convert to fraction form
    923.77/1,378.51 = 825.21/x
  3. Step 3: Cross multiply
    923.77x = 1,378.51 × 825.21
  4. Step 4: Simplify right side
    923.77x = 1,137,564.37
  5. Step 5: Solve for x
    x = 1,137,564.37/923.77
  6. Step 6: Final answer
    x = 1,231.44

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1.5x scale

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.