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Finding the Fourth Proportional to 533.42, 797.05 and 407.65

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Solution

The fourth proportional to 533.42, 797.05 and 407.65 is: 609.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.42 : 797.05 = 407.65 : x
  2. Step 2: Convert to fraction form
    533.42/797.05 = 407.65/x
  3. Step 3: Cross multiply
    533.42x = 797.05 × 407.65
  4. Step 4: Simplify right side
    533.42x = 324,914.65
  5. Step 5: Solve for x
    x = 324,914.65/533.42
  6. Step 6: Final answer
    x = 609.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.