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Finding the Fourth Proportional to 1,054.97, 1,582.45 and 285.47

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Solution

The fourth proportional to 1,054.97, 1,582.45 and 285.47 is: 428.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.97 : 1,582.45 = 285.47 : x
  2. Step 2: Convert to fraction form
    1,054.97/1,582.45 = 285.47/x
  3. Step 3: Cross multiply
    1,054.97x = 1,582.45 × 285.47
  4. Step 4: Simplify right side
    1,054.97x = 451,740.92
  5. Step 5: Solve for x
    x = 451,740.92/1,054.97
  6. Step 6: Final answer
    x = 428.20

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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.