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Finding the Fourth Proportional to 1,905.23, 2,858.39 and 751.79

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Solution

The fourth proportional to 1,905.23, 2,858.39 and 751.79 is: 1,127.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,905.23 : 2,858.39 = 751.79 : x
  2. Step 2: Convert to fraction form
    1,905.23/2,858.39 = 751.79/x
  3. Step 3: Cross multiply
    1,905.23x = 2,858.39 × 751.79
  4. Step 4: Simplify right side
    1,905.23x = 2,148,909.02
  5. Step 5: Solve for x
    x = 2,148,909.02/1,905.23
  6. Step 6: Final answer
    x = 1,127.90

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1.5x scale

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.