Home / 1,416.23-2,124.39-722.69

Finding the Fourth Proportional to 1,416.23, 2,124.39 and 722.69

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Solution

The fourth proportional to 1,416.23, 2,124.39 and 722.69 is: 1,084.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.23 : 2,124.39 = 722.69 : x
  2. Step 2: Convert to fraction form
    1,416.23/2,124.39 = 722.69/x
  3. Step 3: Cross multiply
    1,416.23x = 2,124.39 × 722.69
  4. Step 4: Simplify right side
    1,416.23x = 1,535,271.80
  5. Step 5: Solve for x
    x = 1,535,271.80/1,416.23
  6. Step 6: Final answer
    x = 1,084.06

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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.