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Finding the Fourth Proportional to 771.95, 1,157.61 and 309.95

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Solution

The fourth proportional to 771.95, 1,157.61 and 309.95 is: 464.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.95 : 1,157.61 = 309.95 : x
  2. Step 2: Convert to fraction form
    771.95/1,157.61 = 309.95/x
  3. Step 3: Cross multiply
    771.95x = 1,157.61 × 309.95
  4. Step 4: Simplify right side
    771.95x = 358,801.22
  5. Step 5: Solve for x
    x = 358,801.22/771.95
  6. Step 6: Final answer
    x = 464.80

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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.