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Finding the Fourth Proportional to 771.06, 1,065.24 and 574.23

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Solution

The fourth proportional to 771.06, 1,065.24 and 574.23 is: 793.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.06 : 1,065.24 = 574.23 : x
  2. Step 2: Convert to fraction form
    771.06/1,065.24 = 574.23/x
  3. Step 3: Cross multiply
    771.06x = 1,065.24 × 574.23
  4. Step 4: Simplify right side
    771.06x = 611,692.77
  5. Step 5: Solve for x
    x = 611,692.77/771.06
  6. Step 6: Final answer
    x = 793.31

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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.