Home / 1,031.24-1,547.18-300.83

Finding the Fourth Proportional to 1,031.24, 1,547.18 and 300.83

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Solution

The fourth proportional to 1,031.24, 1,547.18 and 300.83 is: 451.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.24 : 1,547.18 = 300.83 : x
  2. Step 2: Convert to fraction form
    1,031.24/1,547.18 = 300.83/x
  3. Step 3: Cross multiply
    1,031.24x = 1,547.18 × 300.83
  4. Step 4: Simplify right side
    1,031.24x = 465,428.92
  5. Step 5: Solve for x
    x = 465,428.92/1,031.24
  6. Step 6: Final answer
    x = 451.33

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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.