Home / 1,032.22-1,424.46-578.02

Finding the Fourth Proportional to 1,032.22, 1,424.46 and 578.02

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Solution

The fourth proportional to 1,032.22, 1,424.46 and 578.02 is: 797.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.22 : 1,424.46 = 578.02 : x
  2. Step 2: Convert to fraction form
    1,032.22/1,424.46 = 578.02/x
  3. Step 3: Cross multiply
    1,032.22x = 1,424.46 × 578.02
  4. Step 4: Simplify right side
    1,032.22x = 823,366.37
  5. Step 5: Solve for x
    x = 823,366.37/1,032.22
  6. Step 6: Final answer
    x = 797.67

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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.