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Finding the Fourth Proportional to 533.25, 795.69 and 478.71

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Solution

The fourth proportional to 533.25, 795.69 and 478.71 is: 714.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.25 : 795.69 = 478.71 : x
  2. Step 2: Convert to fraction form
    533.25/795.69 = 478.71/x
  3. Step 3: Cross multiply
    533.25x = 795.69 × 478.71
  4. Step 4: Simplify right side
    533.25x = 380,904.76
  5. Step 5: Solve for x
    x = 380,904.76/533.25
  6. Step 6: Final answer
    x = 714.31

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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.