Home / 1,032.28-1,548.69-455.02

Finding the Fourth Proportional to 1,032.28, 1,548.69 and 455.02

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Solution

The fourth proportional to 1,032.28, 1,548.69 and 455.02 is: 682.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.28 : 1,548.69 = 455.02 : x
  2. Step 2: Convert to fraction form
    1,032.28/1,548.69 = 455.02/x
  3. Step 3: Cross multiply
    1,032.28x = 1,548.69 × 455.02
  4. Step 4: Simplify right side
    1,032.28x = 704,684.92
  5. Step 5: Solve for x
    x = 704,684.92/1,032.28
  6. Step 6: Final answer
    x = 682.65

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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.