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Finding the Fourth Proportional to 591.30, 809.93 and 589.68

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Solution

The fourth proportional to 591.30, 809.93 and 589.68 is: 807.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.30 : 809.93 = 589.68 : x
  2. Step 2: Convert to fraction form
    591.30/809.93 = 589.68/x
  3. Step 3: Cross multiply
    591.30x = 809.93 × 589.68
  4. Step 4: Simplify right side
    591.30x = 477,601.00
  5. Step 5: Solve for x
    x = 477,601.00/591.30
  6. Step 6: Final answer
    x = 807.71

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.