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Finding the Fourth Proportional to 1,533.96, 2,299.53 and 559.83

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Solution

The fourth proportional to 1,533.96, 2,299.53 and 559.83 is: 839.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.96 : 2,299.53 = 559.83 : x
  2. Step 2: Convert to fraction form
    1,533.96/2,299.53 = 559.83/x
  3. Step 3: Cross multiply
    1,533.96x = 2,299.53 × 559.83
  4. Step 4: Simplify right side
    1,533.96x = 1,287,345.88
  5. Step 5: Solve for x
    x = 1,287,345.88/1,533.96
  6. Step 6: Final answer
    x = 839.23

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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.