Home / 1,301.20-1,952.12-977.36

Finding the Fourth Proportional to 1,301.20, 1,952.12 and 977.36

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Solution

The fourth proportional to 1,301.20, 1,952.12 and 977.36 is: 1,466.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.20 : 1,952.12 = 977.36 : x
  2. Step 2: Convert to fraction form
    1,301.20/1,952.12 = 977.36/x
  3. Step 3: Cross multiply
    1,301.20x = 1,952.12 × 977.36
  4. Step 4: Simplify right side
    1,301.20x = 1,907,924.00
  5. Step 5: Solve for x
    x = 1,907,924.00/1,301.20
  6. Step 6: Final answer
    x = 1,466.28

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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.