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Finding the Fourth Proportional to 1,054.80, 1,582.41 and 405.49

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Solution

The fourth proportional to 1,054.80, 1,582.41 and 405.49 is: 608.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.80 : 1,582.41 = 405.49 : x
  2. Step 2: Convert to fraction form
    1,054.80/1,582.41 = 405.49/x
  3. Step 3: Cross multiply
    1,054.80x = 1,582.41 × 405.49
  4. Step 4: Simplify right side
    1,054.80x = 641,651.43
  5. Step 5: Solve for x
    x = 641,651.43/1,054.80
  6. Step 6: Final answer
    x = 608.32

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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.