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Finding the Fourth Proportional to 1,280.48, 1,920.72 and 458.18

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Solution

The fourth proportional to 1,280.48, 1,920.72 and 458.18 is: 687.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.48 : 1,920.72 = 458.18 : x
  2. Step 2: Convert to fraction form
    1,280.48/1,920.72 = 458.18/x
  3. Step 3: Cross multiply
    1,280.48x = 1,920.72 × 458.18
  4. Step 4: Simplify right side
    1,280.48x = 880,034.81
  5. Step 5: Solve for x
    x = 880,034.81/1,280.48
  6. Step 6: Final answer
    x = 687.27

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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.