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Finding the Fourth Proportional to 1,356.91, 2,035.33 and 383.00

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Solution

The fourth proportional to 1,356.91, 2,035.33 and 383.00 is: 574.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.91 : 2,035.33 = 383.00 : x
  2. Step 2: Convert to fraction form
    1,356.91/2,035.33 = 383.00/x
  3. Step 3: Cross multiply
    1,356.91x = 2,035.33 × 383.00
  4. Step 4: Simplify right side
    1,356.91x = 779,520.26
  5. Step 5: Solve for x
    x = 779,520.26/1,356.91
  6. Step 6: Final answer
    x = 574.48

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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.