Home / 1,464.21-2,195.57-771.26

Finding the Fourth Proportional to 1,464.21, 2,195.57 and 771.26

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Solution

The fourth proportional to 1,464.21, 2,195.57 and 771.26 is: 1,156.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.21 : 2,195.57 = 771.26 : x
  2. Step 2: Convert to fraction form
    1,464.21/2,195.57 = 771.26/x
  3. Step 3: Cross multiply
    1,464.21x = 2,195.57 × 771.26
  4. Step 4: Simplify right side
    1,464.21x = 1,693,346.27
  5. Step 5: Solve for x
    x = 1,693,346.27/1,464.21
  6. Step 6: Final answer
    x = 1,156.49

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1.5x scale

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.