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Finding the Fourth Proportional to 1,409.14, 2,113.68 and 383.14

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Solution

The fourth proportional to 1,409.14, 2,113.68 and 383.14 is: 574.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.14 : 2,113.68 = 383.14 : x
  2. Step 2: Convert to fraction form
    1,409.14/2,113.68 = 383.14/x
  3. Step 3: Cross multiply
    1,409.14x = 2,113.68 × 383.14
  4. Step 4: Simplify right side
    1,409.14x = 809,835.36
  5. Step 5: Solve for x
    x = 809,835.36/1,409.14
  6. Step 6: Final answer
    x = 574.70

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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.