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Finding the Fourth Proportional to 1,054.92, 1,582.29 and 285.42

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Solution

The fourth proportional to 1,054.92, 1,582.29 and 285.42 is: 428.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.92 : 1,582.29 = 285.42 : x
  2. Step 2: Convert to fraction form
    1,054.92/1,582.29 = 285.42/x
  3. Step 3: Cross multiply
    1,054.92x = 1,582.29 × 285.42
  4. Step 4: Simplify right side
    1,054.92x = 451,617.21
  5. Step 5: Solve for x
    x = 451,617.21/1,054.92
  6. Step 6: Final answer
    x = 428.11

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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.