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Finding the Fourth Proportional to 589.70, 824.50 and 589.70

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Solution

The fourth proportional to 589.70, 824.50 and 589.70 is: 824.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.70 : 824.50 = 589.70 : x
  2. Step 2: Convert to fraction form
    589.70/824.50 = 589.70/x
  3. Step 3: Cross multiply
    589.70x = 824.50 × 589.70
  4. Step 4: Simplify right side
    589.70x = 486,207.65
  5. Step 5: Solve for x
    x = 486,207.65/589.70
  6. Step 6: Final answer
    x = 824.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.