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Finding the Fourth Proportional to 612.81, 846 and 448.29

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Solution

The fourth proportional to 612.81, 846 and 448.29 is: 618.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.81 : 846 = 448.29 : x
  2. Step 2: Convert to fraction form
    612.81/846 = 448.29/x
  3. Step 3: Cross multiply
    612.81x = 846 × 448.29
  4. Step 4: Simplify right side
    612.81x = 379,253.34
  5. Step 5: Solve for x
    x = 379,253.34/612.81
  6. Step 6: Final answer
    x = 618.88

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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.