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Finding the Fourth Proportional to 1,300.54, 1,950.51 and 375.89

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Solution

The fourth proportional to 1,300.54, 1,950.51 and 375.89 is: 563.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.54 : 1,950.51 = 375.89 : x
  2. Step 2: Convert to fraction form
    1,300.54/1,950.51 = 375.89/x
  3. Step 3: Cross multiply
    1,300.54x = 1,950.51 × 375.89
  4. Step 4: Simplify right side
    1,300.54x = 733,173.27
  5. Step 5: Solve for x
    x = 733,173.27/1,300.54
  6. Step 6: Final answer
    x = 563.75

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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.