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Finding the Fourth Proportional to 533.83, 730.35 and 531.53

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Solution

The fourth proportional to 533.83, 730.35 and 531.53 is: 727.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.83 : 730.35 = 531.53 : x
  2. Step 2: Convert to fraction form
    533.83/730.35 = 531.53/x
  3. Step 3: Cross multiply
    533.83x = 730.35 × 531.53
  4. Step 4: Simplify right side
    533.83x = 388,199.28
  5. Step 5: Solve for x
    x = 388,199.28/533.83
  6. Step 6: Final answer
    x = 727.20

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.