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Finding the Fourth Proportional to 533.60, 749.20 and 533.60

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Solution

The fourth proportional to 533.60, 749.20 and 533.60 is: 749.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.60 : 749.20 = 533.60 : x
  2. Step 2: Convert to fraction form
    533.60/749.20 = 533.60/x
  3. Step 3: Cross multiply
    533.60x = 749.20 × 533.60
  4. Step 4: Simplify right side
    533.60x = 399,773.12
  5. Step 5: Solve for x
    x = 399,773.12/533.60
  6. Step 6: Final answer
    x = 749.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.