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Finding the Fourth Proportional to 1,285.37, 1,923.06 and 978.11

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Solution

The fourth proportional to 1,285.37, 1,923.06 and 978.11 is: 1,463.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.37 : 1,923.06 = 978.11 : x
  2. Step 2: Convert to fraction form
    1,285.37/1,923.06 = 978.11/x
  3. Step 3: Cross multiply
    1,285.37x = 1,923.06 × 978.11
  4. Step 4: Simplify right side
    1,285.37x = 1,880,964.22
  5. Step 5: Solve for x
    x = 1,880,964.22/1,285.37
  6. Step 6: Final answer
    x = 1,463.36

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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.