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Finding the Fourth Proportional to 661.91, 989.95 and 589.27

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Solution

The fourth proportional to 661.91, 989.95 and 589.27 is: 881.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.91 : 989.95 = 589.27 : x
  2. Step 2: Convert to fraction form
    661.91/989.95 = 589.27/x
  3. Step 3: Cross multiply
    661.91x = 989.95 × 589.27
  4. Step 4: Simplify right side
    661.91x = 583,342.89
  5. Step 5: Solve for x
    x = 583,342.89/661.91
  6. Step 6: Final answer
    x = 881.30

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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.