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Finding the Fourth Proportional to 533.49, 795.99 and 521.16

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Solution

The fourth proportional to 533.49, 795.99 and 521.16 is: 777.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.49 : 795.99 = 521.16 : x
  2. Step 2: Convert to fraction form
    533.49/795.99 = 521.16/x
  3. Step 3: Cross multiply
    533.49x = 795.99 × 521.16
  4. Step 4: Simplify right side
    533.49x = 414,838.15
  5. Step 5: Solve for x
    x = 414,838.15/533.49
  6. Step 6: Final answer
    x = 777.59

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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.