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Finding the Fourth Proportional to 1,405.33, 2,107.81 and 431.35

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Solution

The fourth proportional to 1,405.33, 2,107.81 and 431.35 is: 646.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.33 : 2,107.81 = 431.35 : x
  2. Step 2: Convert to fraction form
    1,405.33/2,107.81 = 431.35/x
  3. Step 3: Cross multiply
    1,405.33x = 2,107.81 × 431.35
  4. Step 4: Simplify right side
    1,405.33x = 909,197.50
  5. Step 5: Solve for x
    x = 909,197.50/1,405.33
  6. Step 6: Final answer
    x = 646.96

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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.