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Finding the Fourth Proportional to 1,030.79, 1,546.19 and 300.44

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Solution

The fourth proportional to 1,030.79, 1,546.19 and 300.44 is: 450.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.79 : 1,546.19 = 300.44 : x
  2. Step 2: Convert to fraction form
    1,030.79/1,546.19 = 300.44/x
  3. Step 3: Cross multiply
    1,030.79x = 1,546.19 × 300.44
  4. Step 4: Simplify right side
    1,030.79x = 464,530.34
  5. Step 5: Solve for x
    x = 464,530.34/1,030.79
  6. Step 6: Final answer
    x = 450.66

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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.