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Finding the Fourth Proportional to 558.10, 770.33 and 348.15

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Solution

The fourth proportional to 558.10, 770.33 and 348.15 is: 480.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.10 : 770.33 = 348.15 : x
  2. Step 2: Convert to fraction form
    558.10/770.33 = 348.15/x
  3. Step 3: Cross multiply
    558.10x = 770.33 × 348.15
  4. Step 4: Simplify right side
    558.10x = 268,188.12
  5. Step 5: Solve for x
    x = 268,188.12/558.10
  6. Step 6: Final answer
    x = 480.54

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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.