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Finding the Fourth Proportional to 1,036.46, 1,554.72 and 488.90

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Solution

The fourth proportional to 1,036.46, 1,554.72 and 488.90 is: 733.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.46 : 1,554.72 = 488.90 : x
  2. Step 2: Convert to fraction form
    1,036.46/1,554.72 = 488.90/x
  3. Step 3: Cross multiply
    1,036.46x = 1,554.72 × 488.90
  4. Step 4: Simplify right side
    1,036.46x = 760,102.61
  5. Step 5: Solve for x
    x = 760,102.61/1,036.46
  6. Step 6: Final answer
    x = 733.36

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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.