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Finding the Fourth Proportional to 533.26, 802.70 and 486.55

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Solution

The fourth proportional to 533.26, 802.70 and 486.55 is: 732.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.26 : 802.70 = 486.55 : x
  2. Step 2: Convert to fraction form
    533.26/802.70 = 486.55/x
  3. Step 3: Cross multiply
    533.26x = 802.70 × 486.55
  4. Step 4: Simplify right side
    533.26x = 390,554.08
  5. Step 5: Solve for x
    x = 390,554.08/533.26
  6. Step 6: Final answer
    x = 732.39

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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.