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Finding the Fourth Proportional to 664.11, 915.96 and 589.50

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Solution

The fourth proportional to 664.11, 915.96 and 589.50 is: 813.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.11 : 915.96 = 589.50 : x
  2. Step 2: Convert to fraction form
    664.11/915.96 = 589.50/x
  3. Step 3: Cross multiply
    664.11x = 915.96 × 589.50
  4. Step 4: Simplify right side
    664.11x = 539,958.42
  5. Step 5: Solve for x
    x = 539,958.42/664.11
  6. Step 6: Final answer
    x = 813.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.