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Finding the Fourth Proportional to 771.54, 1,156.65 and 309.65

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Solution

The fourth proportional to 771.54, 1,156.65 and 309.65 is: 464.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.54 : 1,156.65 = 309.65 : x
  2. Step 2: Convert to fraction form
    771.54/1,156.65 = 309.65/x
  3. Step 3: Cross multiply
    771.54x = 1,156.65 × 309.65
  4. Step 4: Simplify right side
    771.54x = 358,150.89
  5. Step 5: Solve for x
    x = 358,150.89/771.54
  6. Step 6: Final answer
    x = 464.20

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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.