Home / 1,032.32-1,548.48-455.04

Finding the Fourth Proportional to 1,032.32, 1,548.48 and 455.04

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Solution

The fourth proportional to 1,032.32, 1,548.48 and 455.04 is: 682.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.32 : 1,548.48 = 455.04 : x
  2. Step 2: Convert to fraction form
    1,032.32/1,548.48 = 455.04/x
  3. Step 3: Cross multiply
    1,032.32x = 1,548.48 × 455.04
  4. Step 4: Simplify right side
    1,032.32x = 704,620.34
  5. Step 5: Solve for x
    x = 704,620.34/1,032.32
  6. Step 6: Final answer
    x = 682.56

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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.