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Finding the Fourth Proportional to 1,356.62, 2,035.22 and 382.77

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Solution

The fourth proportional to 1,356.62, 2,035.22 and 382.77 is: 574.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.62 : 2,035.22 = 382.77 : x
  2. Step 2: Convert to fraction form
    1,356.62/2,035.22 = 382.77/x
  3. Step 3: Cross multiply
    1,356.62x = 2,035.22 × 382.77
  4. Step 4: Simplify right side
    1,356.62x = 779,019.25
  5. Step 5: Solve for x
    x = 779,019.25/1,356.62
  6. Step 6: Final answer
    x = 574.24

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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.