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Finding the Fourth Proportional to 771.30, 1,156.30 and 360.22

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Solution

The fourth proportional to 771.30, 1,156.30 and 360.22 is: 540.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.30 : 1,156.30 = 360.22 : x
  2. Step 2: Convert to fraction form
    771.30/1,156.30 = 360.22/x
  3. Step 3: Cross multiply
    771.30x = 1,156.30 × 360.22
  4. Step 4: Simplify right side
    771.30x = 416,522.39
  5. Step 5: Solve for x
    x = 416,522.39/771.30
  6. Step 6: Final answer
    x = 540.03

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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.