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Finding the Fourth Proportional to 1,109.85, 1,664.78 and 623.24

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Solution

The fourth proportional to 1,109.85, 1,664.78 and 623.24 is: 934.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.85 : 1,664.78 = 623.24 : x
  2. Step 2: Convert to fraction form
    1,109.85/1,664.78 = 623.24/x
  3. Step 3: Cross multiply
    1,109.85x = 1,664.78 × 623.24
  4. Step 4: Simplify right side
    1,109.85x = 1,037,557.49
  5. Step 5: Solve for x
    x = 1,037,557.49/1,109.85
  6. Step 6: Final answer
    x = 934.86

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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.