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Finding the Fourth Proportional to 1,890.27, 2,835.78 and 657.72

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Solution

The fourth proportional to 1,890.27, 2,835.78 and 657.72 is: 986.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,890.27 : 2,835.78 = 657.72 : x
  2. Step 2: Convert to fraction form
    1,890.27/2,835.78 = 657.72/x
  3. Step 3: Cross multiply
    1,890.27x = 2,835.78 × 657.72
  4. Step 4: Simplify right side
    1,890.27x = 1,865,146.76
  5. Step 5: Solve for x
    x = 1,865,146.76/1,890.27
  6. Step 6: Final answer
    x = 986.71

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1.5x scale

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.