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Finding the Fourth Proportional to 684.29, 943.99 and 448.15

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Solution

The fourth proportional to 684.29, 943.99 and 448.15 is: 618.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.29 : 943.99 = 448.15 : x
  2. Step 2: Convert to fraction form
    684.29/943.99 = 448.15/x
  3. Step 3: Cross multiply
    684.29x = 943.99 × 448.15
  4. Step 4: Simplify right side
    684.29x = 423,049.12
  5. Step 5: Solve for x
    x = 423,049.12/684.29
  6. Step 6: Final answer
    x = 618.23

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1.5x scale

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.