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Finding the Fourth Proportional to 612.68, 844.95 and 481.46

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Solution

The fourth proportional to 612.68, 844.95 and 481.46 is: 663.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.68 : 844.95 = 481.46 : x
  2. Step 2: Convert to fraction form
    612.68/844.95 = 481.46/x
  3. Step 3: Cross multiply
    612.68x = 844.95 × 481.46
  4. Step 4: Simplify right side
    612.68x = 406,809.25
  5. Step 5: Solve for x
    x = 406,809.25/612.68
  6. Step 6: Final answer
    x = 663.98

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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.