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Finding the Fourth Proportional to 662.29, 990.51 and 589.64

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Solution

The fourth proportional to 662.29, 990.51 and 589.64 is: 881.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.29 : 990.51 = 589.64 : x
  2. Step 2: Convert to fraction form
    662.29/990.51 = 589.64/x
  3. Step 3: Cross multiply
    662.29x = 990.51 × 589.64
  4. Step 4: Simplify right side
    662.29x = 584,044.32
  5. Step 5: Solve for x
    x = 584,044.32/662.29
  6. Step 6: Final answer
    x = 881.86

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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.