Home / 1,524.15-2,286.46-646.65

Finding the Fourth Proportional to 1,524.15, 2,286.46 and 646.65

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Solution

The fourth proportional to 1,524.15, 2,286.46 and 646.65 is: 970.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.15 : 2,286.46 = 646.65 : x
  2. Step 2: Convert to fraction form
    1,524.15/2,286.46 = 646.65/x
  3. Step 3: Cross multiply
    1,524.15x = 2,286.46 × 646.65
  4. Step 4: Simplify right side
    1,524.15x = 1,478,539.36
  5. Step 5: Solve for x
    x = 1,478,539.36/1,524.15
  6. Step 6: Final answer
    x = 970.07

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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.