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Finding the Fourth Proportional to 1,890.30, 2,835.44 and 503.63

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Solution

The fourth proportional to 1,890.30, 2,835.44 and 503.63 is: 755.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,890.30 : 2,835.44 = 503.63 : x
  2. Step 2: Convert to fraction form
    1,890.30/2,835.44 = 503.63/x
  3. Step 3: Cross multiply
    1,890.30x = 2,835.44 × 503.63
  4. Step 4: Simplify right side
    1,890.30x = 1,428,010.13
  5. Step 5: Solve for x
    x = 1,428,010.13/1,890.30
  6. Step 6: Final answer
    x = 755.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.