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Finding the Fourth Proportional to 1,063.89, 1,596.03 and 486.75

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Solution

The fourth proportional to 1,063.89, 1,596.03 and 486.75 is: 730.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.89 : 1,596.03 = 486.75 : x
  2. Step 2: Convert to fraction form
    1,063.89/1,596.03 = 486.75/x
  3. Step 3: Cross multiply
    1,063.89x = 1,596.03 × 486.75
  4. Step 4: Simplify right side
    1,063.89x = 776,867.60
  5. Step 5: Solve for x
    x = 776,867.60/1,063.89
  6. Step 6: Final answer
    x = 730.21

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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.