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Finding the Fourth Proportional to 662.62, 991.02 and 589.96

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Solution

The fourth proportional to 662.62, 991.02 and 589.96 is: 882.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.62 : 991.02 = 589.96 : x
  2. Step 2: Convert to fraction form
    662.62/991.02 = 589.96/x
  3. Step 3: Cross multiply
    662.62x = 991.02 × 589.96
  4. Step 4: Simplify right side
    662.62x = 584,662.16
  5. Step 5: Solve for x
    x = 584,662.16/662.62
  6. Step 6: Final answer
    x = 882.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.