Home / 1,280.16-1,920.46-458.26

Finding the Fourth Proportional to 1,280.16, 1,920.46 and 458.26

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Solution

The fourth proportional to 1,280.16, 1,920.46 and 458.26 is: 687.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.16 : 1,920.46 = 458.26 : x
  2. Step 2: Convert to fraction form
    1,280.16/1,920.46 = 458.26/x
  3. Step 3: Cross multiply
    1,280.16x = 1,920.46 × 458.26
  4. Step 4: Simplify right side
    1,280.16x = 880,070.00
  5. Step 5: Solve for x
    x = 880,070.00/1,280.16
  6. Step 6: Final answer
    x = 687.47

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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.