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Finding the Fourth Proportional to 1,533, 2,299.80 and 559.14

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Solution

The fourth proportional to 1,533, 2,299.80 and 559.14 is: 838.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533 : 2,299.80 = 559.14 : x
  2. Step 2: Convert to fraction form
    1,533/2,299.80 = 559.14/x
  3. Step 3: Cross multiply
    1,533x = 2,299.80 × 559.14
  4. Step 4: Simplify right side
    1,533x = 1,285,910.17
  5. Step 5: Solve for x
    x = 1,285,910.17/1,533
  6. Step 6: Final answer
    x = 838.82

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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.