Home / 1,535.10-2,301.30-547.44

Finding the Fourth Proportional to 1,535.10, 2,301.30 and 547.44

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Solution

The fourth proportional to 1,535.10, 2,301.30 and 547.44 is: 820.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.10 : 2,301.30 = 547.44 : x
  2. Step 2: Convert to fraction form
    1,535.10/2,301.30 = 547.44/x
  3. Step 3: Cross multiply
    1,535.10x = 2,301.30 × 547.44
  4. Step 4: Simplify right side
    1,535.10x = 1,259,823.67
  5. Step 5: Solve for x
    x = 1,259,823.67/1,535.10
  6. Step 6: Final answer
    x = 820.68

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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.