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Finding the Fourth Proportional to 454.51, 684.96 and 411.23

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Solution

The fourth proportional to 454.51, 684.96 and 411.23 is: 619.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.51 : 684.96 = 411.23 : x
  2. Step 2: Convert to fraction form
    454.51/684.96 = 411.23/x
  3. Step 3: Cross multiply
    454.51x = 684.96 × 411.23
  4. Step 4: Simplify right side
    454.51x = 281,677.81
  5. Step 5: Solve for x
    x = 281,677.81/454.51
  6. Step 6: Final answer
    x = 619.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.