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Finding the Fourth Proportional to 1,083.24, 1,623.47 and 693.09

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Solution

The fourth proportional to 1,083.24, 1,623.47 and 693.09 is: 1,038.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.24 : 1,623.47 = 693.09 : x
  2. Step 2: Convert to fraction form
    1,083.24/1,623.47 = 693.09/x
  3. Step 3: Cross multiply
    1,083.24x = 1,623.47 × 693.09
  4. Step 4: Simplify right side
    1,083.24x = 1,125,207.36
  5. Step 5: Solve for x
    x = 1,125,207.36/1,083.24
  6. Step 6: Final answer
    x = 1,038.74

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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.