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Finding the Fourth Proportional to 820.02, 1,228.99 and 527.41

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Solution

The fourth proportional to 820.02, 1,228.99 and 527.41 is: 790.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.02 : 1,228.99 = 527.41 : x
  2. Step 2: Convert to fraction form
    820.02/1,228.99 = 527.41/x
  3. Step 3: Cross multiply
    820.02x = 1,228.99 × 527.41
  4. Step 4: Simplify right side
    820.02x = 648,181.62
  5. Step 5: Solve for x
    x = 648,181.62/820.02
  6. Step 6: Final answer
    x = 790.45

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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.