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Finding the Fourth Proportional to 1,300.33, 1,950.30 and 478.42

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Solution

The fourth proportional to 1,300.33, 1,950.30 and 478.42 is: 717.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.33 : 1,950.30 = 478.42 : x
  2. Step 2: Convert to fraction form
    1,300.33/1,950.30 = 478.42/x
  3. Step 3: Cross multiply
    1,300.33x = 1,950.30 × 478.42
  4. Step 4: Simplify right side
    1,300.33x = 933,057.65
  5. Step 5: Solve for x
    x = 933,057.65/1,300.33
  6. Step 6: Final answer
    x = 717.56

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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.