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Finding the Fourth Proportional to 558, 770 and 325.14

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Solution

The fourth proportional to 558, 770 and 325.14 is: 448.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    558 : 770 = 325.14 : x
  2. Step 2: Convert to fraction form
    558/770 = 325.14/x
  3. Step 3: Cross multiply
    558x = 770 × 325.14
  4. Step 4: Simplify right side
    558x = 250,357.80
  5. Step 5: Solve for x
    x = 250,357.80/558
  6. Step 6: Final answer
    x = 448.67

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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.