Home / 1,020.74-1,531.37-362.58

Finding the Fourth Proportional to 1,020.74, 1,531.37 and 362.58

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Solution

The fourth proportional to 1,020.74, 1,531.37 and 362.58 is: 543.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.74 : 1,531.37 = 362.58 : x
  2. Step 2: Convert to fraction form
    1,020.74/1,531.37 = 362.58/x
  3. Step 3: Cross multiply
    1,020.74x = 1,531.37 × 362.58
  4. Step 4: Simplify right side
    1,020.74x = 555,242.32
  5. Step 5: Solve for x
    x = 555,242.32/1,020.74
  6. Step 6: Final answer
    x = 543.96

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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.