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Finding the Fourth Proportional to 851.22, 1,174.37 and 589.46

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Solution

The fourth proportional to 851.22, 1,174.37 and 589.46 is: 813.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.22 : 1,174.37 = 589.46 : x
  2. Step 2: Convert to fraction form
    851.22/1,174.37 = 589.46/x
  3. Step 3: Cross multiply
    851.22x = 1,174.37 × 589.46
  4. Step 4: Simplify right side
    851.22x = 692,235.32
  5. Step 5: Solve for x
    x = 692,235.32/851.22
  6. Step 6: Final answer
    x = 813.23

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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.