Home / 1,031.39-1,547.30-300.90

Finding the Fourth Proportional to 1,031.39, 1,547.30 and 300.90

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Solution

The fourth proportional to 1,031.39, 1,547.30 and 300.90 is: 451.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.39 : 1,547.30 = 300.90 : x
  2. Step 2: Convert to fraction form
    1,031.39/1,547.30 = 300.90/x
  3. Step 3: Cross multiply
    1,031.39x = 1,547.30 × 300.90
  4. Step 4: Simplify right side
    1,031.39x = 465,589.12
  5. Step 5: Solve for x
    x = 465,589.12/1,031.39
  6. Step 6: Final answer
    x = 451.42

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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.