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Finding the Fourth Proportional to 613.78, 846.93 and 348.19

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Solution

The fourth proportional to 613.78, 846.93 and 348.19 is: 480.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.78 : 846.93 = 348.19 : x
  2. Step 2: Convert to fraction form
    613.78/846.93 = 348.19/x
  3. Step 3: Cross multiply
    613.78x = 846.93 × 348.19
  4. Step 4: Simplify right side
    613.78x = 294,888.32
  5. Step 5: Solve for x
    x = 294,888.32/613.78
  6. Step 6: Final answer
    x = 480.45

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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.