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Finding the Fourth Proportional to 612.93, 846.14 and 350.90

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Solution

The fourth proportional to 612.93, 846.14 and 350.90 is: 484.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.93 : 846.14 = 350.90 : x
  2. Step 2: Convert to fraction form
    612.93/846.14 = 350.90/x
  3. Step 3: Cross multiply
    612.93x = 846.14 × 350.90
  4. Step 4: Simplify right side
    612.93x = 296,904.54
  5. Step 5: Solve for x
    x = 296,904.54/612.93
  6. Step 6: Final answer
    x = 484.40

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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.