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Finding the Fourth Proportional to 592.89, 889.34 and 319.11

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Solution

The fourth proportional to 592.89, 889.34 and 319.11 is: 478.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.89 : 889.34 = 319.11 : x
  2. Step 2: Convert to fraction form
    592.89/889.34 = 319.11/x
  3. Step 3: Cross multiply
    592.89x = 889.34 × 319.11
  4. Step 4: Simplify right side
    592.89x = 283,795.69
  5. Step 5: Solve for x
    x = 283,795.69/592.89
  6. Step 6: Final answer
    x = 478.67

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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.