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Finding the Fourth Proportional to 684.81, 944.54 and 448.50

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Solution

The fourth proportional to 684.81, 944.54 and 448.50 is: 618.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.81 : 944.54 = 448.50 : x
  2. Step 2: Convert to fraction form
    684.81/944.54 = 448.50/x
  3. Step 3: Cross multiply
    684.81x = 944.54 × 448.50
  4. Step 4: Simplify right side
    684.81x = 423,623.95
  5. Step 5: Solve for x
    x = 423,623.95/684.81
  6. Step 6: Final answer
    x = 618.60

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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.