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Finding the Fourth Proportional to 1,163.64, 1,745.40 and 384.18

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Solution

The fourth proportional to 1,163.64, 1,745.40 and 384.18 is: 576.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.64 : 1,745.40 = 384.18 : x
  2. Step 2: Convert to fraction form
    1,163.64/1,745.40 = 384.18/x
  3. Step 3: Cross multiply
    1,163.64x = 1,745.40 × 384.18
  4. Step 4: Simplify right side
    1,163.64x = 670,547.77
  5. Step 5: Solve for x
    x = 670,547.77/1,163.64
  6. Step 6: Final answer
    x = 576.25

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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.