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Finding the Fourth Proportional to 1,774.00, 2,448.12 and 977.29

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Solution

The fourth proportional to 1,774.00, 2,448.12 and 977.29 is: 1,348.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,774.00 : 2,448.12 = 977.29 : x
  2. Step 2: Convert to fraction form
    1,774.00/2,448.12 = 977.29/x
  3. Step 3: Cross multiply
    1,774.00x = 2,448.12 × 977.29
  4. Step 4: Simplify right side
    1,774.00x = 2,392,529.01
  5. Step 5: Solve for x
    x = 2,392,529.01/1,774.00
  6. Step 6: Final answer
    x = 1,348.67

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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.