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Finding the Fourth Proportional to 1,890.20, 2,835.61 and 657.79

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Solution

The fourth proportional to 1,890.20, 2,835.61 and 657.79 is: 986.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,890.20 : 2,835.61 = 657.79 : x
  2. Step 2: Convert to fraction form
    1,890.20/2,835.61 = 657.79/x
  3. Step 3: Cross multiply
    1,890.20x = 2,835.61 × 657.79
  4. Step 4: Simplify right side
    1,890.20x = 1,865,227.17
  5. Step 5: Solve for x
    x = 1,865,227.17/1,890.20
  6. Step 6: Final answer
    x = 986.79

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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.