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Finding the Fourth Proportional to 1,285.78, 1,928.24 and 555.16

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Solution

The fourth proportional to 1,285.78, 1,928.24 and 555.16 is: 832.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.78 : 1,928.24 = 555.16 : x
  2. Step 2: Convert to fraction form
    1,285.78/1,928.24 = 555.16/x
  3. Step 3: Cross multiply
    1,285.78x = 1,928.24 × 555.16
  4. Step 4: Simplify right side
    1,285.78x = 1,070,481.72
  5. Step 5: Solve for x
    x = 1,070,481.72/1,285.78
  6. Step 6: Final answer
    x = 832.55

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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.