Home / 1,400.23-2,099.80-578.28

Finding the Fourth Proportional to 1,400.23, 2,099.80 and 578.28

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Solution

The fourth proportional to 1,400.23, 2,099.80 and 578.28 is: 867.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.23 : 2,099.80 = 578.28 : x
  2. Step 2: Convert to fraction form
    1,400.23/2,099.80 = 578.28/x
  3. Step 3: Cross multiply
    1,400.23x = 2,099.80 × 578.28
  4. Step 4: Simplify right side
    1,400.23x = 1,214,272.34
  5. Step 5: Solve for x
    x = 1,214,272.34/1,400.23
  6. Step 6: Final answer
    x = 867.19

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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.