Home / 1,152.06-1,589.34-709.80

Finding the Fourth Proportional to 1,152.06, 1,589.34 and 709.80

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Solution

The fourth proportional to 1,152.06, 1,589.34 and 709.80 is: 979.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.06 : 1,589.34 = 709.80 : x
  2. Step 2: Convert to fraction form
    1,152.06/1,589.34 = 709.80/x
  3. Step 3: Cross multiply
    1,152.06x = 1,589.34 × 709.80
  4. Step 4: Simplify right side
    1,152.06x = 1,128,113.53
  5. Step 5: Solve for x
    x = 1,128,113.53/1,152.06
  6. Step 6: Final answer
    x = 979.21

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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.