Home / 1,103.24-1,655.40-780.68

Finding the Fourth Proportional to 1,103.24, 1,655.40 and 780.68

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Solution

The fourth proportional to 1,103.24, 1,655.40 and 780.68 is: 1,171.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.24 : 1,655.40 = 780.68 : x
  2. Step 2: Convert to fraction form
    1,103.24/1,655.40 = 780.68/x
  3. Step 3: Cross multiply
    1,103.24x = 1,655.40 × 780.68
  4. Step 4: Simplify right side
    1,103.24x = 1,292,337.67
  5. Step 5: Solve for x
    x = 1,292,337.67/1,103.24
  6. Step 6: Final answer
    x = 1,171.40

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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.