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Finding the Fourth Proportional to 1,758.60, 2,635.30 and 770.50

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Solution

The fourth proportional to 1,758.60, 2,635.30 and 770.50 is: 1,154.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,758.60 : 2,635.30 = 770.50 : x
  2. Step 2: Convert to fraction form
    1,758.60/2,635.30 = 770.50/x
  3. Step 3: Cross multiply
    1,758.60x = 2,635.30 × 770.50
  4. Step 4: Simplify right side
    1,758.60x = 2,030,498.65
  5. Step 5: Solve for x
    x = 2,030,498.65/1,758.60
  6. Step 6: Final answer
    x = 1,154.61

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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.