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Finding the Fourth Proportional to 533.30, 795.87 and 410.90

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Solution

The fourth proportional to 533.30, 795.87 and 410.90 is: 613.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.30 : 795.87 = 410.90 : x
  2. Step 2: Convert to fraction form
    533.30/795.87 = 410.90/x
  3. Step 3: Cross multiply
    533.30x = 795.87 × 410.90
  4. Step 4: Simplify right side
    533.30x = 327,020.93
  5. Step 5: Solve for x
    x = 327,020.93/533.30
  6. Step 6: Final answer
    x = 613.20

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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.