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Finding the Fourth Proportional to 771.19, 1,063.33 and 623.37

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Solution

The fourth proportional to 771.19, 1,063.33 and 623.37 is: 859.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.19 : 1,063.33 = 623.37 : x
  2. Step 2: Convert to fraction form
    771.19/1,063.33 = 623.37/x
  3. Step 3: Cross multiply
    771.19x = 1,063.33 × 623.37
  4. Step 4: Simplify right side
    771.19x = 662,848.02
  5. Step 5: Solve for x
    x = 662,848.02/771.19
  6. Step 6: Final answer
    x = 859.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.