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Finding the Fourth Proportional to 1,063.98, 1,596.88 and 790.60

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Solution

The fourth proportional to 1,063.98, 1,596.88 and 790.60 is: 1,186.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.98 : 1,596.88 = 790.60 : x
  2. Step 2: Convert to fraction form
    1,063.98/1,596.88 = 790.60/x
  3. Step 3: Cross multiply
    1,063.98x = 1,596.88 × 790.60
  4. Step 4: Simplify right side
    1,063.98x = 1,262,493.33
  5. Step 5: Solve for x
    x = 1,262,493.33/1,063.98
  6. Step 6: Final answer
    x = 1,186.58

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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.