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Finding the Fourth Proportional to 1,905.63, 2,859.05 and 607.09

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Solution

The fourth proportional to 1,905.63, 2,859.05 and 607.09 is: 910.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,905.63 : 2,859.05 = 607.09 : x
  2. Step 2: Convert to fraction form
    1,905.63/2,859.05 = 607.09/x
  3. Step 3: Cross multiply
    1,905.63x = 2,859.05 × 607.09
  4. Step 4: Simplify right side
    1,905.63x = 1,735,700.66
  5. Step 5: Solve for x
    x = 1,735,700.66/1,905.63
  6. Step 6: Final answer
    x = 910.83

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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.