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Finding the Fourth Proportional to 662.58, 989.19 and 571.23

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Solution

The fourth proportional to 662.58, 989.19 and 571.23 is: 852.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.58 : 989.19 = 571.23 : x
  2. Step 2: Convert to fraction form
    662.58/989.19 = 571.23/x
  3. Step 3: Cross multiply
    662.58x = 989.19 × 571.23
  4. Step 4: Simplify right side
    662.58x = 565,055.00
  5. Step 5: Solve for x
    x = 565,055.00/662.58
  6. Step 6: Final answer
    x = 852.81

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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.