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Finding the Fourth Proportional to 684.32, 944.88 and 451.76

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Solution

The fourth proportional to 684.32, 944.88 and 451.76 is: 623.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.32 : 944.88 = 451.76 : x
  2. Step 2: Convert to fraction form
    684.32/944.88 = 451.76/x
  3. Step 3: Cross multiply
    684.32x = 944.88 × 451.76
  4. Step 4: Simplify right side
    684.32x = 426,858.99
  5. Step 5: Solve for x
    x = 426,858.99/684.32
  6. Step 6: Final answer
    x = 623.77

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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.