Home / 1,280.12-1,919.58-458.08

Finding the Fourth Proportional to 1,280.12, 1,919.58 and 458.08

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Solution

The fourth proportional to 1,280.12, 1,919.58 and 458.08 is: 686.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.12 : 1,919.58 = 458.08 : x
  2. Step 2: Convert to fraction form
    1,280.12/1,919.58 = 458.08/x
  3. Step 3: Cross multiply
    1,280.12x = 1,919.58 × 458.08
  4. Step 4: Simplify right side
    1,280.12x = 879,321.21
  5. Step 5: Solve for x
    x = 879,321.21/1,280.12
  6. Step 6: Final answer
    x = 686.91

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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.