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Finding the Fourth Proportional to 1,000.72, 1,501.13 and 384.21

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Solution

The fourth proportional to 1,000.72, 1,501.13 and 384.21 is: 576.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.72 : 1,501.13 = 384.21 : x
  2. Step 2: Convert to fraction form
    1,000.72/1,501.13 = 384.21/x
  3. Step 3: Cross multiply
    1,000.72x = 1,501.13 × 384.21
  4. Step 4: Simplify right side
    1,000.72x = 576,750.12
  5. Step 5: Solve for x
    x = 576,750.12/1,000.72
  6. Step 6: Final answer
    x = 576.33

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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.