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Finding the Fourth Proportional to 1,033.52, 1,549.80 and 384.08

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Solution

The fourth proportional to 1,033.52, 1,549.80 and 384.08 is: 575.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.52 : 1,549.80 = 384.08 : x
  2. Step 2: Convert to fraction form
    1,033.52/1,549.80 = 384.08/x
  3. Step 3: Cross multiply
    1,033.52x = 1,549.80 × 384.08
  4. Step 4: Simplify right side
    1,033.52x = 595,247.18
  5. Step 5: Solve for x
    x = 595,247.18/1,033.52
  6. Step 6: Final answer
    x = 575.94

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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.