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Finding the Fourth Proportional to 533.20, 798.58 and 524.30

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Solution

The fourth proportional to 533.20, 798.58 and 524.30 is: 785.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.20 : 798.58 = 524.30 : x
  2. Step 2: Convert to fraction form
    533.20/798.58 = 524.30/x
  3. Step 3: Cross multiply
    533.20x = 798.58 × 524.30
  4. Step 4: Simplify right side
    533.20x = 418,695.49
  5. Step 5: Solve for x
    x = 418,695.49/533.20
  6. Step 6: Final answer
    x = 785.25

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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.