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Finding the Fourth Proportional to 1,533.54, 2,299.64 and 437.66

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Solution

The fourth proportional to 1,533.54, 2,299.64 and 437.66 is: 656.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.54 : 2,299.64 = 437.66 : x
  2. Step 2: Convert to fraction form
    1,533.54/2,299.64 = 437.66/x
  3. Step 3: Cross multiply
    1,533.54x = 2,299.64 × 437.66
  4. Step 4: Simplify right side
    1,533.54x = 1,006,460.44
  5. Step 5: Solve for x
    x = 1,006,460.44/1,533.54
  6. Step 6: Final answer
    x = 656.30

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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.