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Finding the Fourth Proportional to 1,054.58, 1,582.43 and 438.71

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Solution

The fourth proportional to 1,054.58, 1,582.43 and 438.71 is: 658.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.58 : 1,582.43 = 438.71 : x
  2. Step 2: Convert to fraction form
    1,054.58/1,582.43 = 438.71/x
  3. Step 3: Cross multiply
    1,054.58x = 1,582.43 × 438.71
  4. Step 4: Simplify right side
    1,054.58x = 694,219.95
  5. Step 5: Solve for x
    x = 694,219.95/1,054.58
  6. Step 6: Final answer
    x = 658.29

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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.