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Finding the Fourth Proportional to 1,031, 1,546.02 and 381.28

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Solution

The fourth proportional to 1,031, 1,546.02 and 381.28 is: 571.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031 : 1,546.02 = 381.28 : x
  2. Step 2: Convert to fraction form
    1,031/1,546.02 = 381.28/x
  3. Step 3: Cross multiply
    1,031x = 1,546.02 × 381.28
  4. Step 4: Simplify right side
    1,031x = 589,466.51
  5. Step 5: Solve for x
    x = 589,466.51/1,031
  6. Step 6: Final answer
    x = 571.74

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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.