Home / 1,527.14-2,290.85-416.57

Finding the Fourth Proportional to 1,527.14, 2,290.85 and 416.57

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Solution

The fourth proportional to 1,527.14, 2,290.85 and 416.57 is: 624.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.14 : 2,290.85 = 416.57 : x
  2. Step 2: Convert to fraction form
    1,527.14/2,290.85 = 416.57/x
  3. Step 3: Cross multiply
    1,527.14x = 2,290.85 × 416.57
  4. Step 4: Simplify right side
    1,527.14x = 954,285.85
  5. Step 5: Solve for x
    x = 954,285.85/1,527.14
  6. Step 6: Final answer
    x = 624.89

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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.