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Finding the Fourth Proportional to 1,890.95, 2,835.31 and 574.30

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Solution

The fourth proportional to 1,890.95, 2,835.31 and 574.30 is: 861.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,890.95 : 2,835.31 = 574.30 : x
  2. Step 2: Convert to fraction form
    1,890.95/2,835.31 = 574.30/x
  3. Step 3: Cross multiply
    1,890.95x = 2,835.31 × 574.30
  4. Step 4: Simplify right side
    1,890.95x = 1,628,315.66
  5. Step 5: Solve for x
    x = 1,628,315.66/1,890.95
  6. Step 6: Final answer
    x = 861.11

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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.