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Finding the Fourth Proportional to 830.26, 1,238.60 and 771.34

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Solution

The fourth proportional to 830.26, 1,238.60 and 771.34 is: 1,150.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.26 : 1,238.60 = 771.34 : x
  2. Step 2: Convert to fraction form
    830.26/1,238.60 = 771.34/x
  3. Step 3: Cross multiply
    830.26x = 1,238.60 × 771.34
  4. Step 4: Simplify right side
    830.26x = 955,381.72
  5. Step 5: Solve for x
    x = 955,381.72/830.26
  6. Step 6: Final answer
    x = 1,150.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.