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Finding the Fourth Proportional to 1,355.98, 2,034.24 and 490.36

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Solution

The fourth proportional to 1,355.98, 2,034.24 and 490.36 is: 735.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.98 : 2,034.24 = 490.36 : x
  2. Step 2: Convert to fraction form
    1,355.98/2,034.24 = 490.36/x
  3. Step 3: Cross multiply
    1,355.98x = 2,034.24 × 490.36
  4. Step 4: Simplify right side
    1,355.98x = 997,509.93
  5. Step 5: Solve for x
    x = 997,509.93/1,355.98
  6. Step 6: Final answer
    x = 735.64

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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.