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Finding the Fourth Proportional to 1,116.44, 1,674.42 and 385.84

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Solution

The fourth proportional to 1,116.44, 1,674.42 and 385.84 is: 578.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.44 : 1,674.42 = 385.84 : x
  2. Step 2: Convert to fraction form
    1,116.44/1,674.42 = 385.84/x
  3. Step 3: Cross multiply
    1,116.44x = 1,674.42 × 385.84
  4. Step 4: Simplify right side
    1,116.44x = 646,058.21
  5. Step 5: Solve for x
    x = 646,058.21/1,116.44
  6. Step 6: Final answer
    x = 578.68

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Double scale
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1.5x scale

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.