Home / 1,057.20-1,459.80-709.44

Finding the Fourth Proportional to 1,057.20, 1,459.80 and 709.44

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Solution

The fourth proportional to 1,057.20, 1,459.80 and 709.44 is: 979.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.20 : 1,459.80 = 709.44 : x
  2. Step 2: Convert to fraction form
    1,057.20/1,459.80 = 709.44/x
  3. Step 3: Cross multiply
    1,057.20x = 1,459.80 × 709.44
  4. Step 4: Simplify right side
    1,057.20x = 1,035,640.51
  5. Step 5: Solve for x
    x = 1,035,640.51/1,057.20
  6. Step 6: Final answer
    x = 979.61

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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.