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Finding the Fourth Proportional to 1,308.46, 1,962.44 and 384.06

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Solution

The fourth proportional to 1,308.46, 1,962.44 and 384.06 is: 576.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.46 : 1,962.44 = 384.06 : x
  2. Step 2: Convert to fraction form
    1,308.46/1,962.44 = 384.06/x
  3. Step 3: Cross multiply
    1,308.46x = 1,962.44 × 384.06
  4. Step 4: Simplify right side
    1,308.46x = 753,694.71
  5. Step 5: Solve for x
    x = 753,694.71/1,308.46
  6. Step 6: Final answer
    x = 576.02

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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.