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Finding the Fourth Proportional to 771.06, 1,156.47 and 258.06

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Solution

The fourth proportional to 771.06, 1,156.47 and 258.06 is: 387.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.06 : 1,156.47 = 258.06 : x
  2. Step 2: Convert to fraction form
    771.06/1,156.47 = 258.06/x
  3. Step 3: Cross multiply
    771.06x = 1,156.47 × 258.06
  4. Step 4: Simplify right side
    771.06x = 298,438.65
  5. Step 5: Solve for x
    x = 298,438.65/771.06
  6. Step 6: Final answer
    x = 387.05

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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.