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Finding the Fourth Proportional to 579.51, 869.23 and 348.46

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Solution

The fourth proportional to 579.51, 869.23 and 348.46 is: 522.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.51 : 869.23 = 348.46 : x
  2. Step 2: Convert to fraction form
    579.51/869.23 = 348.46/x
  3. Step 3: Cross multiply
    579.51x = 869.23 × 348.46
  4. Step 4: Simplify right side
    579.51x = 302,891.89
  5. Step 5: Solve for x
    x = 302,891.89/579.51
  6. Step 6: Final answer
    x = 522.67

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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.