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Finding the Fourth Proportional to 771.21, 1,157.45 and 360.14

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Solution

The fourth proportional to 771.21, 1,157.45 and 360.14 is: 540.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.21 : 1,157.45 = 360.14 : x
  2. Step 2: Convert to fraction form
    771.21/1,157.45 = 360.14/x
  3. Step 3: Cross multiply
    771.21x = 1,157.45 × 360.14
  4. Step 4: Simplify right side
    771.21x = 416,836.46
  5. Step 5: Solve for x
    x = 416,836.46/771.21
  6. Step 6: Final answer
    x = 540.50

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Double scale
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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.