Home / 1,031.50-1,547.27-301.08

Finding the Fourth Proportional to 1,031.50, 1,547.27 and 301.08

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Solution

The fourth proportional to 1,031.50, 1,547.27 and 301.08 is: 451.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.50 : 1,547.27 = 301.08 : x
  2. Step 2: Convert to fraction form
    1,031.50/1,547.27 = 301.08/x
  3. Step 3: Cross multiply
    1,031.50x = 1,547.27 × 301.08
  4. Step 4: Simplify right side
    1,031.50x = 465,857.48
  5. Step 5: Solve for x
    x = 465,857.48/1,031.50
  6. Step 6: Final answer
    x = 451.63

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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.