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Finding the Fourth Proportional to 558.17, 770.46 and 348.22

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Solution

The fourth proportional to 558.17, 770.46 and 348.22 is: 480.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.17 : 770.46 = 348.22 : x
  2. Step 2: Convert to fraction form
    558.17/770.46 = 348.22/x
  3. Step 3: Cross multiply
    558.17x = 770.46 × 348.22
  4. Step 4: Simplify right side
    558.17x = 268,293.36
  5. Step 5: Solve for x
    x = 268,293.36/558.17
  6. Step 6: Final answer
    x = 480.67

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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.