Home / 1,465.30-2,198.09-771.55

Finding the Fourth Proportional to 1,465.30, 2,198.09 and 771.55

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Solution

The fourth proportional to 1,465.30, 2,198.09 and 771.55 is: 1,157.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.30 : 2,198.09 = 771.55 : x
  2. Step 2: Convert to fraction form
    1,465.30/2,198.09 = 771.55/x
  3. Step 3: Cross multiply
    1,465.30x = 2,198.09 × 771.55
  4. Step 4: Simplify right side
    1,465.30x = 1,695,932.48
  5. Step 5: Solve for x
    x = 1,695,932.48/1,465.30
  6. Step 6: Final answer
    x = 1,157.40

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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.