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Finding the Fourth Proportional to 533.81, 804.84 and 426.89

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Solution

The fourth proportional to 533.81, 804.84 and 426.89 is: 643.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.81 : 804.84 = 426.89 : x
  2. Step 2: Convert to fraction form
    533.81/804.84 = 426.89/x
  3. Step 3: Cross multiply
    533.81x = 804.84 × 426.89
  4. Step 4: Simplify right side
    533.81x = 343,580.96
  5. Step 5: Solve for x
    x = 343,580.96/533.81
  6. Step 6: Final answer
    x = 643.64

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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.