Home / 1,349.30-2,016.09-977.34

Finding the Fourth Proportional to 1,349.30, 2,016.09 and 977.34

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Solution

The fourth proportional to 1,349.30, 2,016.09 and 977.34 is: 1,460.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.30 : 2,016.09 = 977.34 : x
  2. Step 2: Convert to fraction form
    1,349.30/2,016.09 = 977.34/x
  3. Step 3: Cross multiply
    1,349.30x = 2,016.09 × 977.34
  4. Step 4: Simplify right side
    1,349.30x = 1,970,405.40
  5. Step 5: Solve for x
    x = 1,970,405.40/1,349.30
  6. Step 6: Final answer
    x = 1,460.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.