Home / 1,606.75-2,217.81-977.84

Finding the Fourth Proportional to 1,606.75, 2,217.81 and 977.84

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Solution

The fourth proportional to 1,606.75, 2,217.81 and 977.84 is: 1,349.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,606.75 : 2,217.81 = 977.84 : x
  2. Step 2: Convert to fraction form
    1,606.75/2,217.81 = 977.84/x
  3. Step 3: Cross multiply
    1,606.75x = 2,217.81 × 977.84
  4. Step 4: Simplify right side
    1,606.75x = 2,168,655.97
  5. Step 5: Solve for x
    x = 2,168,655.97/1,606.75
  6. Step 6: Final answer
    x = 1,349.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.