Home / 1,031.58-1,547.54-301.06

Finding the Fourth Proportional to 1,031.58, 1,547.54 and 301.06

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Solution

The fourth proportional to 1,031.58, 1,547.54 and 301.06 is: 451.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.58 : 1,547.54 = 301.06 : x
  2. Step 2: Convert to fraction form
    1,031.58/1,547.54 = 301.06/x
  3. Step 3: Cross multiply
    1,031.58x = 1,547.54 × 301.06
  4. Step 4: Simplify right side
    1,031.58x = 465,902.39
  5. Step 5: Solve for x
    x = 465,902.39/1,031.58
  6. Step 6: Final answer
    x = 451.64

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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.