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Finding the Fourth Proportional to 1,000.82, 1,500.23 and 384.05

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Solution

The fourth proportional to 1,000.82, 1,500.23 and 384.05 is: 575.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.82 : 1,500.23 = 384.05 : x
  2. Step 2: Convert to fraction form
    1,000.82/1,500.23 = 384.05/x
  3. Step 3: Cross multiply
    1,000.82x = 1,500.23 × 384.05
  4. Step 4: Simplify right side
    1,000.82x = 576,153.91
  5. Step 5: Solve for x
    x = 576,153.91/1,000.82
  6. Step 6: Final answer
    x = 575.68

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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.