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Finding the Fourth Proportional to 1,354.53, 2,030.90 and 488.73

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Solution

The fourth proportional to 1,354.53, 2,030.90 and 488.73 is: 732.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.53 : 2,030.90 = 488.73 : x
  2. Step 2: Convert to fraction form
    1,354.53/2,030.90 = 488.73/x
  3. Step 3: Cross multiply
    1,354.53x = 2,030.90 × 488.73
  4. Step 4: Simplify right side
    1,354.53x = 992,559.31
  5. Step 5: Solve for x
    x = 992,559.31/1,354.53
  6. Step 6: Final answer
    x = 732.77

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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.