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Finding the Fourth Proportional to 1,653.90, 2,479.02 and 923.10

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Solution

The fourth proportional to 1,653.90, 2,479.02 and 923.10 is: 1,383.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.90 : 2,479.02 = 923.10 : x
  2. Step 2: Convert to fraction form
    1,653.90/2,479.02 = 923.10/x
  3. Step 3: Cross multiply
    1,653.90x = 2,479.02 × 923.10
  4. Step 4: Simplify right side
    1,653.90x = 2,288,383.36
  5. Step 5: Solve for x
    x = 2,288,383.36/1,653.90
  6. Step 6: Final answer
    x = 1,383.63

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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.