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Finding the Fourth Proportional to 1,356.94, 2,035.19 and 383.11

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Solution

The fourth proportional to 1,356.94, 2,035.19 and 383.11 is: 574.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.94 : 2,035.19 = 383.11 : x
  2. Step 2: Convert to fraction form
    1,356.94/2,035.19 = 383.11/x
  3. Step 3: Cross multiply
    1,356.94x = 2,035.19 × 383.11
  4. Step 4: Simplify right side
    1,356.94x = 779,689.55
  5. Step 5: Solve for x
    x = 779,689.55/1,356.94
  6. Step 6: Final answer
    x = 574.60

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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.