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Finding the Fourth Proportional to 1,890.74, 2,835.68 and 720.89

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Solution

The fourth proportional to 1,890.74, 2,835.68 and 720.89 is: 1,081.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,890.74 : 2,835.68 = 720.89 : x
  2. Step 2: Convert to fraction form
    1,890.74/2,835.68 = 720.89/x
  3. Step 3: Cross multiply
    1,890.74x = 2,835.68 × 720.89
  4. Step 4: Simplify right side
    1,890.74x = 2,044,195.57
  5. Step 5: Solve for x
    x = 2,044,195.57/1,890.74
  6. Step 6: Final answer
    x = 1,081.16

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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.