Home / 1,031.58-1,547.44-301.10

Finding the Fourth Proportional to 1,031.58, 1,547.44 and 301.10

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Solution

The fourth proportional to 1,031.58, 1,547.44 and 301.10 is: 451.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.58 : 1,547.44 = 301.10 : x
  2. Step 2: Convert to fraction form
    1,031.58/1,547.44 = 301.10/x
  3. Step 3: Cross multiply
    1,031.58x = 1,547.44 × 301.10
  4. Step 4: Simplify right side
    1,031.58x = 465,924.94
  5. Step 5: Solve for x
    x = 465,924.94/1,031.58
  6. Step 6: Final answer
    x = 451.66

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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.