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Finding the Fourth Proportional to 526.02, 788.03 and 331.23

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Solution

The fourth proportional to 526.02, 788.03 and 331.23 is: 496.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.02 : 788.03 = 331.23 : x
  2. Step 2: Convert to fraction form
    526.02/788.03 = 331.23/x
  3. Step 3: Cross multiply
    526.02x = 788.03 × 331.23
  4. Step 4: Simplify right side
    526.02x = 261,017.52
  5. Step 5: Solve for x
    x = 261,017.52/526.02
  6. Step 6: Final answer
    x = 496.21

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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.