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Finding the Fourth Proportional to 1,031.05, 1,546.58 and 300.63

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Solution

The fourth proportional to 1,031.05, 1,546.58 and 300.63 is: 450.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.05 : 1,546.58 = 300.63 : x
  2. Step 2: Convert to fraction form
    1,031.05/1,546.58 = 300.63/x
  3. Step 3: Cross multiply
    1,031.05x = 1,546.58 × 300.63
  4. Step 4: Simplify right side
    1,031.05x = 464,948.35
  5. Step 5: Solve for x
    x = 464,948.35/1,031.05
  6. Step 6: Final answer
    x = 450.95

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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.