Home / 1,031.40-1,547.32-301.04

Finding the Fourth Proportional to 1,031.40, 1,547.32 and 301.04

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Solution

The fourth proportional to 1,031.40, 1,547.32 and 301.04 is: 451.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.40 : 1,547.32 = 301.04 : x
  2. Step 2: Convert to fraction form
    1,031.40/1,547.32 = 301.04/x
  3. Step 3: Cross multiply
    1,031.40x = 1,547.32 × 301.04
  4. Step 4: Simplify right side
    1,031.40x = 465,805.21
  5. Step 5: Solve for x
    x = 465,805.21/1,031.40
  6. Step 6: Final answer
    x = 451.62

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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.