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Finding the Fourth Proportional to 923.28, 1,385.80 and 679.07

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Solution

The fourth proportional to 923.28, 1,385.80 and 679.07 is: 1,019.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.28 : 1,385.80 = 679.07 : x
  2. Step 2: Convert to fraction form
    923.28/1,385.80 = 679.07/x
  3. Step 3: Cross multiply
    923.28x = 1,385.80 × 679.07
  4. Step 4: Simplify right side
    923.28x = 941,055.21
  5. Step 5: Solve for x
    x = 941,055.21/923.28
  6. Step 6: Final answer
    x = 1,019.25

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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.