Home / 1,527.25-2,290.83-649.19

Finding the Fourth Proportional to 1,527.25, 2,290.83 and 649.19

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Solution

The fourth proportional to 1,527.25, 2,290.83 and 649.19 is: 973.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.25 : 2,290.83 = 649.19 : x
  2. Step 2: Convert to fraction form
    1,527.25/2,290.83 = 649.19/x
  3. Step 3: Cross multiply
    1,527.25x = 2,290.83 × 649.19
  4. Step 4: Simplify right side
    1,527.25x = 1,487,183.93
  5. Step 5: Solve for x
    x = 1,487,183.93/1,527.25
  6. Step 6: Final answer
    x = 973.77

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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.