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Finding the Fourth Proportional to 1,280.36, 1,920.76 and 976.00

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Solution

The fourth proportional to 1,280.36, 1,920.76 and 976.00 is: 1,464.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.36 : 1,920.76 = 976.00 : x
  2. Step 2: Convert to fraction form
    1,280.36/1,920.76 = 976.00/x
  3. Step 3: Cross multiply
    1,280.36x = 1,920.76 × 976.00
  4. Step 4: Simplify right side
    1,280.36x = 1,874,663.61
  5. Step 5: Solve for x
    x = 1,874,663.61/1,280.36
  6. Step 6: Final answer
    x = 1,464.17

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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.