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Finding the Fourth Proportional to 1,048.13, 1,571.08 and 499.56

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Solution

The fourth proportional to 1,048.13, 1,571.08 and 499.56 is: 748.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.13 : 1,571.08 = 499.56 : x
  2. Step 2: Convert to fraction form
    1,048.13/1,571.08 = 499.56/x
  3. Step 3: Cross multiply
    1,048.13x = 1,571.08 × 499.56
  4. Step 4: Simplify right side
    1,048.13x = 784,848.72
  5. Step 5: Solve for x
    x = 784,848.72/1,048.13
  6. Step 6: Final answer
    x = 748.81

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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.