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Finding the Fourth Proportional to 1,038.40, 1,553.94 and 792.96

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Solution

The fourth proportional to 1,038.40, 1,553.94 and 792.96 is: 1,186.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.40 : 1,553.94 = 792.96 : x
  2. Step 2: Convert to fraction form
    1,038.40/1,553.94 = 792.96/x
  3. Step 3: Cross multiply
    1,038.40x = 1,553.94 × 792.96
  4. Step 4: Simplify right side
    1,038.40x = 1,232,212.26
  5. Step 5: Solve for x
    x = 1,232,212.26/1,038.40
  6. Step 6: Final answer
    x = 1,186.65

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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.