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Finding the Fourth Proportional to 1,285.78, 1,925.52 and 1,011.22

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Solution

The fourth proportional to 1,285.78, 1,925.52 and 1,011.22 is: 1,514.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.78 : 1,925.52 = 1,011.22 : x
  2. Step 2: Convert to fraction form
    1,285.78/1,925.52 = 1,011.22/x
  3. Step 3: Cross multiply
    1,285.78x = 1,925.52 × 1,011.22
  4. Step 4: Simplify right side
    1,285.78x = 1,947,124.33
  5. Step 5: Solve for x
    x = 1,947,124.33/1,285.78
  6. Step 6: Final answer
    x = 1,514.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.