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Finding the Fourth Proportional to 533.40, 800.46 and 389.46

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Solution

The fourth proportional to 533.40, 800.46 and 389.46 is: 584.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.40 : 800.46 = 389.46 : x
  2. Step 2: Convert to fraction form
    533.40/800.46 = 389.46/x
  3. Step 3: Cross multiply
    533.40x = 800.46 × 389.46
  4. Step 4: Simplify right side
    533.40x = 311,747.15
  5. Step 5: Solve for x
    x = 311,747.15/533.40
  6. Step 6: Final answer
    x = 584.45

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Similar ratio
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1.5x scale

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.