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Finding the Fourth Proportional to 620.35, 928.87 and 345.04

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Solution

The fourth proportional to 620.35, 928.87 and 345.04 is: 516.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.35 : 928.87 = 345.04 : x
  2. Step 2: Convert to fraction form
    620.35/928.87 = 345.04/x
  3. Step 3: Cross multiply
    620.35x = 928.87 × 345.04
  4. Step 4: Simplify right side
    620.35x = 320,494.12
  5. Step 5: Solve for x
    x = 320,494.12/620.35
  6. Step 6: Final answer
    x = 516.64

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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.