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Finding the Fourth Proportional to 1,033.30, 1,550.63 and 384.01

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Solution

The fourth proportional to 1,033.30, 1,550.63 and 384.01 is: 576.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.30 : 1,550.63 = 384.01 : x
  2. Step 2: Convert to fraction form
    1,033.30/1,550.63 = 384.01/x
  3. Step 3: Cross multiply
    1,033.30x = 1,550.63 × 384.01
  4. Step 4: Simplify right side
    1,033.30x = 595,457.43
  5. Step 5: Solve for x
    x = 595,457.43/1,033.30
  6. Step 6: Final answer
    x = 576.27

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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.