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Finding the Fourth Proportional to 1,405.84, 2,109.18 and 431.96

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Solution

The fourth proportional to 1,405.84, 2,109.18 and 431.96 is: 648.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.84 : 2,109.18 = 431.96 : x
  2. Step 2: Convert to fraction form
    1,405.84/2,109.18 = 431.96/x
  3. Step 3: Cross multiply
    1,405.84x = 2,109.18 × 431.96
  4. Step 4: Simplify right side
    1,405.84x = 911,081.39
  5. Step 5: Solve for x
    x = 911,081.39/1,405.84
  6. Step 6: Final answer
    x = 648.07

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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.