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Finding the Fourth Proportional to 684.30, 944.55 and 448.41

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Solution

The fourth proportional to 684.30, 944.55 and 448.41 is: 618.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.30 : 944.55 = 448.41 : x
  2. Step 2: Convert to fraction form
    684.30/944.55 = 448.41/x
  3. Step 3: Cross multiply
    684.30x = 944.55 × 448.41
  4. Step 4: Simplify right side
    684.30x = 423,545.67
  5. Step 5: Solve for x
    x = 423,545.67/684.30
  6. Step 6: Final answer
    x = 618.95

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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.