Home / 1,301.70-1,952.55-1,196.40

Finding the Fourth Proportional to 1,301.70, 1,952.55 and 1,196.40

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Solution

The fourth proportional to 1,301.70, 1,952.55 and 1,196.40 is: 1,794.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.70 : 1,952.55 = 1,196.40 : x
  2. Step 2: Convert to fraction form
    1,301.70/1,952.55 = 1,196.40/x
  3. Step 3: Cross multiply
    1,301.70x = 1,952.55 × 1,196.40
  4. Step 4: Simplify right side
    1,301.70x = 2,336,030.82
  5. Step 5: Solve for x
    x = 2,336,030.82/1,301.70
  6. Step 6: Final answer
    x = 1,794.60

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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.