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Finding the Fourth Proportional to 612.53, 844.48 and 494.37

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Solution

The fourth proportional to 612.53, 844.48 and 494.37 is: 681.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.53 : 844.48 = 494.37 : x
  2. Step 2: Convert to fraction form
    612.53/844.48 = 494.37/x
  3. Step 3: Cross multiply
    612.53x = 844.48 × 494.37
  4. Step 4: Simplify right side
    612.53x = 417,483.41
  5. Step 5: Solve for x
    x = 417,483.41/612.53
  6. Step 6: Final answer
    x = 681.57

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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.