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Finding the Fourth Proportional to 1,356.04, 2,035.05 and 490.42

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Solution

The fourth proportional to 1,356.04, 2,035.05 and 490.42 is: 735.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.04 : 2,035.05 = 490.42 : x
  2. Step 2: Convert to fraction form
    1,356.04/2,035.05 = 490.42/x
  3. Step 3: Cross multiply
    1,356.04x = 2,035.05 × 490.42
  4. Step 4: Simplify right side
    1,356.04x = 998,029.22
  5. Step 5: Solve for x
    x = 998,029.22/1,356.04
  6. Step 6: Final answer
    x = 735.99

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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.