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Finding the Fourth Proportional to 1,602.80, 2,404.20 and 1,533.10

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Solution

The fourth proportional to 1,602.80, 2,404.20 and 1,533.10 is: 2,299.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.80 : 2,404.20 = 1,533.10 : x
  2. Step 2: Convert to fraction form
    1,602.80/2,404.20 = 1,533.10/x
  3. Step 3: Cross multiply
    1,602.80x = 2,404.20 × 1,533.10
  4. Step 4: Simplify right side
    1,602.80x = 3,685,879.02
  5. Step 5: Solve for x
    x = 3,685,879.02/1,602.80
  6. Step 6: Final answer
    x = 2,299.65

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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.