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Finding the Fourth Proportional to 533.99, 804.63 and 475.07

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Solution

The fourth proportional to 533.99, 804.63 and 475.07 is: 715.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.99 : 804.63 = 475.07 : x
  2. Step 2: Convert to fraction form
    533.99/804.63 = 475.07/x
  3. Step 3: Cross multiply
    533.99x = 804.63 × 475.07
  4. Step 4: Simplify right side
    533.99x = 382,253.33
  5. Step 5: Solve for x
    x = 382,253.33/533.99
  6. Step 6: Final answer
    x = 715.84

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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.