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Finding the Fourth Proportional to 533.64, 800.58 and 398.30

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Solution

The fourth proportional to 533.64, 800.58 and 398.30 is: 597.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.64 : 800.58 = 398.30 : x
  2. Step 2: Convert to fraction form
    533.64/800.58 = 398.30/x
  3. Step 3: Cross multiply
    533.64x = 800.58 × 398.30
  4. Step 4: Simplify right side
    533.64x = 318,867.01
  5. Step 5: Solve for x
    x = 318,867.01/533.64
  6. Step 6: Final answer
    x = 597.53

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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.