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Finding the Fourth Proportional to 662.00, 986.42 and 589.30

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Solution

The fourth proportional to 662.00, 986.42 and 589.30 is: 878.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.00 : 986.42 = 589.30 : x
  2. Step 2: Convert to fraction form
    662.00/986.42 = 589.30/x
  3. Step 3: Cross multiply
    662.00x = 986.42 × 589.30
  4. Step 4: Simplify right side
    662.00x = 581,296.31
  5. Step 5: Solve for x
    x = 581,296.31/662.00
  6. Step 6: Final answer
    x = 878.10

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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.