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Finding the Fourth Proportional to 612.31, 845 and 346.81

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Solution

The fourth proportional to 612.31, 845 and 346.81 is: 478.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.31 : 845 = 346.81 : x
  2. Step 2: Convert to fraction form
    612.31/845 = 346.81/x
  3. Step 3: Cross multiply
    612.31x = 845 × 346.81
  4. Step 4: Simplify right side
    612.31x = 293,054.45
  5. Step 5: Solve for x
    x = 293,054.45/612.31
  6. Step 6: Final answer
    x = 478.60

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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.