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Finding the Fourth Proportional to 1,105.65, 1,656.05 and 923.40

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Solution

The fourth proportional to 1,105.65, 1,656.05 and 923.40 is: 1,383.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.65 : 1,656.05 = 923.40 : x
  2. Step 2: Convert to fraction form
    1,105.65/1,656.05 = 923.40/x
  3. Step 3: Cross multiply
    1,105.65x = 1,656.05 × 923.40
  4. Step 4: Simplify right side
    1,105.65x = 1,529,191.95
  5. Step 5: Solve for x
    x = 1,529,191.95/1,105.65
  6. Step 6: Final answer
    x = 1,383.07

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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.