Home / 1,464.21-2,196.90-770.69

Finding the Fourth Proportional to 1,464.21, 2,196.90 and 770.69

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Solution

The fourth proportional to 1,464.21, 2,196.90 and 770.69 is: 1,156.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.21 : 2,196.90 = 770.69 : x
  2. Step 2: Convert to fraction form
    1,464.21/2,196.90 = 770.69/x
  3. Step 3: Cross multiply
    1,464.21x = 2,196.90 × 770.69
  4. Step 4: Simplify right side
    1,464.21x = 1,693,134.35
  5. Step 5: Solve for x
    x = 1,693,134.35/1,464.21
  6. Step 6: Final answer
    x = 1,156.35

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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.