Home / 1,031.51-1,547.10-300.94

Finding the Fourth Proportional to 1,031.51, 1,547.10 and 300.94

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Solution

The fourth proportional to 1,031.51, 1,547.10 and 300.94 is: 451.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.51 : 1,547.10 = 300.94 : x
  2. Step 2: Convert to fraction form
    1,031.51/1,547.10 = 300.94/x
  3. Step 3: Cross multiply
    1,031.51x = 1,547.10 × 300.94
  4. Step 4: Simplify right side
    1,031.51x = 465,584.27
  5. Step 5: Solve for x
    x = 465,584.27/1,031.51
  6. Step 6: Final answer
    x = 451.36

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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.