Home / 1,031.65-1,547.58-301.03

Finding the Fourth Proportional to 1,031.65, 1,547.58 and 301.03

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Solution

The fourth proportional to 1,031.65, 1,547.58 and 301.03 is: 451.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.65 : 1,547.58 = 301.03 : x
  2. Step 2: Convert to fraction form
    1,031.65/1,547.58 = 301.03/x
  3. Step 3: Cross multiply
    1,031.65x = 1,547.58 × 301.03
  4. Step 4: Simplify right side
    1,031.65x = 465,868.01
  5. Step 5: Solve for x
    x = 465,868.01/1,031.65
  6. Step 6: Final answer
    x = 451.58

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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.