Home / 1,524.03-2,285.62-646.49

Finding the Fourth Proportional to 1,524.03, 2,285.62 and 646.49

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Solution

The fourth proportional to 1,524.03, 2,285.62 and 646.49 is: 969.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.03 : 2,285.62 = 646.49 : x
  2. Step 2: Convert to fraction form
    1,524.03/2,285.62 = 646.49/x
  3. Step 3: Cross multiply
    1,524.03x = 2,285.62 × 646.49
  4. Step 4: Simplify right side
    1,524.03x = 1,477,630.47
  5. Step 5: Solve for x
    x = 1,477,630.47/1,524.03
  6. Step 6: Final answer
    x = 969.55

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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.