Home / 1,031.43-1,547.38-300.98

Finding the Fourth Proportional to 1,031.43, 1,547.38 and 300.98

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Solution

The fourth proportional to 1,031.43, 1,547.38 and 300.98 is: 451.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.43 : 1,547.38 = 300.98 : x
  2. Step 2: Convert to fraction form
    1,031.43/1,547.38 = 300.98/x
  3. Step 3: Cross multiply
    1,031.43x = 1,547.38 × 300.98
  4. Step 4: Simplify right side
    1,031.43x = 465,725.81
  5. Step 5: Solve for x
    x = 465,725.81/1,031.43
  6. Step 6: Final answer
    x = 451.54

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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.