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Finding the Fourth Proportional to 770.94, 1,157.10 and 360.31

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Solution

The fourth proportional to 770.94, 1,157.10 and 360.31 is: 540.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.94 : 1,157.10 = 360.31 : x
  2. Step 2: Convert to fraction form
    770.94/1,157.10 = 360.31/x
  3. Step 3: Cross multiply
    770.94x = 1,157.10 × 360.31
  4. Step 4: Simplify right side
    770.94x = 416,911.40
  5. Step 5: Solve for x
    x = 416,911.40/770.94
  6. Step 6: Final answer
    x = 540.78

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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.