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Finding the Fourth Proportional to 923.14, 1,394.80 and 914.23

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Solution

The fourth proportional to 923.14, 1,394.80 and 914.23 is: 1,381.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.14 : 1,394.80 = 914.23 : x
  2. Step 2: Convert to fraction form
    923.14/1,394.80 = 914.23/x
  3. Step 3: Cross multiply
    923.14x = 1,394.80 × 914.23
  4. Step 4: Simplify right side
    923.14x = 1,275,168.00
  5. Step 5: Solve for x
    x = 1,275,168.00/923.14
  6. Step 6: Final answer
    x = 1,381.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.