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Finding the Fourth Proportional to 612.98, 845.91 and 364.31

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Solution

The fourth proportional to 612.98, 845.91 and 364.31 is: 502.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.98 : 845.91 = 364.31 : x
  2. Step 2: Convert to fraction form
    612.98/845.91 = 364.31/x
  3. Step 3: Cross multiply
    612.98x = 845.91 × 364.31
  4. Step 4: Simplify right side
    612.98x = 308,172.07
  5. Step 5: Solve for x
    x = 308,172.07/612.98
  6. Step 6: Final answer
    x = 502.74

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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.