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Finding the Fourth Proportional to 1,032.40, 1,540.60 and 923

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Solution

The fourth proportional to 1,032.40, 1,540.60 and 923 is: 1,377.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.40 : 1,540.60 = 923 : x
  2. Step 2: Convert to fraction form
    1,032.40/1,540.60 = 923/x
  3. Step 3: Cross multiply
    1,032.40x = 1,540.60 × 923
  4. Step 4: Simplify right side
    1,032.40x = 1,421,973.80
  5. Step 5: Solve for x
    x = 1,421,973.80/1,032.40
  6. Step 6: Final answer
    x = 1,377.35

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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.