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Finding the Fourth Proportional to 1,904.62, 2,856.97 and 606.46

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Solution

The fourth proportional to 1,904.62, 2,856.97 and 606.46 is: 909.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,904.62 : 2,856.97 = 606.46 : x
  2. Step 2: Convert to fraction form
    1,904.62/2,856.97 = 606.46/x
  3. Step 3: Cross multiply
    1,904.62x = 2,856.97 × 606.46
  4. Step 4: Simplify right side
    1,904.62x = 1,732,638.03
  5. Step 5: Solve for x
    x = 1,732,638.03/1,904.62
  6. Step 6: Final answer
    x = 909.70

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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.