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Finding the Fourth Proportional to 967.80, 1,450.62 and 775.02

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Solution

The fourth proportional to 967.80, 1,450.62 and 775.02 is: 1,161.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.80 : 1,450.62 = 775.02 : x
  2. Step 2: Convert to fraction form
    967.80/1,450.62 = 775.02/x
  3. Step 3: Cross multiply
    967.80x = 1,450.62 × 775.02
  4. Step 4: Simplify right side
    967.80x = 1,124,259.51
  5. Step 5: Solve for x
    x = 1,124,259.51/967.80
  6. Step 6: Final answer
    x = 1,161.67

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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.