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Finding the Fourth Proportional to 1,164.11, 1,745.99 and 384.13

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Solution

The fourth proportional to 1,164.11, 1,745.99 and 384.13 is: 576.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.11 : 1,745.99 = 384.13 : x
  2. Step 2: Convert to fraction form
    1,164.11/1,745.99 = 384.13/x
  3. Step 3: Cross multiply
    1,164.11x = 1,745.99 × 384.13
  4. Step 4: Simplify right side
    1,164.11x = 670,676.49
  5. Step 5: Solve for x
    x = 670,676.49/1,164.11
  6. Step 6: Final answer
    x = 576.13

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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.