Home / 1,447.32-2,171.40-706.98

Finding the Fourth Proportional to 1,447.32, 2,171.40 and 706.98

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Solution

The fourth proportional to 1,447.32, 2,171.40 and 706.98 is: 1,060.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.32 : 2,171.40 = 706.98 : x
  2. Step 2: Convert to fraction form
    1,447.32/2,171.40 = 706.98/x
  3. Step 3: Cross multiply
    1,447.32x = 2,171.40 × 706.98
  4. Step 4: Simplify right side
    1,447.32x = 1,535,136.37
  5. Step 5: Solve for x
    x = 1,535,136.37/1,447.32
  6. Step 6: Final answer
    x = 1,060.68

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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.