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Finding the Fourth Proportional to 1,285.43, 1,928.54 and 766.01

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Solution

The fourth proportional to 1,285.43, 1,928.54 and 766.01 is: 1,149.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.43 : 1,928.54 = 766.01 : x
  2. Step 2: Convert to fraction form
    1,285.43/1,928.54 = 766.01/x
  3. Step 3: Cross multiply
    1,285.43x = 1,928.54 × 766.01
  4. Step 4: Simplify right side
    1,285.43x = 1,477,287.66
  5. Step 5: Solve for x
    x = 1,477,287.66/1,285.43
  6. Step 6: Final answer
    x = 1,149.26

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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.