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Finding the Fourth Proportional to 533.94, 802.70 and 425.61

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Solution

The fourth proportional to 533.94, 802.70 and 425.61 is: 639.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.94 : 802.70 = 425.61 : x
  2. Step 2: Convert to fraction form
    533.94/802.70 = 425.61/x
  3. Step 3: Cross multiply
    533.94x = 802.70 × 425.61
  4. Step 4: Simplify right side
    533.94x = 341,636.58
  5. Step 5: Solve for x
    x = 341,636.58/533.94
  6. Step 6: Final answer
    x = 639.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.