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Finding the Fourth Proportional to 1,280.41, 1,920.77 and 458.77

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Solution

The fourth proportional to 1,280.41, 1,920.77 and 458.77 is: 688.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.41 : 1,920.77 = 458.77 : x
  2. Step 2: Convert to fraction form
    1,280.41/1,920.77 = 458.77/x
  3. Step 3: Cross multiply
    1,280.41x = 1,920.77 × 458.77
  4. Step 4: Simplify right side
    1,280.41x = 881,191.65
  5. Step 5: Solve for x
    x = 881,191.65/1,280.41
  6. Step 6: Final answer
    x = 688.21

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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.