Home / 1,217.00-1,677.14-977.43

Finding the Fourth Proportional to 1,217.00, 1,677.14 and 977.43

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Solution

The fourth proportional to 1,217.00, 1,677.14 and 977.43 is: 1,346.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.00 : 1,677.14 = 977.43 : x
  2. Step 2: Convert to fraction form
    1,217.00/1,677.14 = 977.43/x
  3. Step 3: Cross multiply
    1,217.00x = 1,677.14 × 977.43
  4. Step 4: Simplify right side
    1,217.00x = 1,639,282.06
  5. Step 5: Solve for x
    x = 1,639,282.06/1,217.00
  6. Step 6: Final answer
    x = 1,346.99

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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.