Home / 1,524.37-2,286.57-646.63

Finding the Fourth Proportional to 1,524.37, 2,286.57 and 646.63

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Solution

The fourth proportional to 1,524.37, 2,286.57 and 646.63 is: 969.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.37 : 2,286.57 = 646.63 : x
  2. Step 2: Convert to fraction form
    1,524.37/2,286.57 = 646.63/x
  3. Step 3: Cross multiply
    1,524.37x = 2,286.57 × 646.63
  4. Step 4: Simplify right side
    1,524.37x = 1,478,564.76
  5. Step 5: Solve for x
    x = 1,478,564.76/1,524.37
  6. Step 6: Final answer
    x = 969.95

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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.