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Finding the Fourth Proportional to 1,036.08, 1,554.12 and 488.21

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Solution

The fourth proportional to 1,036.08, 1,554.12 and 488.21 is: 732.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.08 : 1,554.12 = 488.21 : x
  2. Step 2: Convert to fraction form
    1,036.08/1,554.12 = 488.21/x
  3. Step 3: Cross multiply
    1,036.08x = 1,554.12 × 488.21
  4. Step 4: Simplify right side
    1,036.08x = 758,729.15
  5. Step 5: Solve for x
    x = 758,729.15/1,036.08
  6. Step 6: Final answer
    x = 732.31

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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.