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Finding the Fourth Proportional to 699.57, 966.29 and 589.41

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Solution

The fourth proportional to 699.57, 966.29 and 589.41 is: 814.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.57 : 966.29 = 589.41 : x
  2. Step 2: Convert to fraction form
    699.57/966.29 = 589.41/x
  3. Step 3: Cross multiply
    699.57x = 966.29 × 589.41
  4. Step 4: Simplify right side
    699.57x = 569,538.04
  5. Step 5: Solve for x
    x = 569,538.04/699.57
  6. Step 6: Final answer
    x = 814.13

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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.