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Finding the Fourth Proportional to 1,054.49, 1,582.34 and 880.74

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Solution

The fourth proportional to 1,054.49, 1,582.34 and 880.74 is: 1,321.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.49 : 1,582.34 = 880.74 : x
  2. Step 2: Convert to fraction form
    1,054.49/1,582.34 = 880.74/x
  3. Step 3: Cross multiply
    1,054.49x = 1,582.34 × 880.74
  4. Step 4: Simplify right side
    1,054.49x = 1,393,625.73
  5. Step 5: Solve for x
    x = 1,393,625.73/1,054.49
  6. Step 6: Final answer
    x = 1,321.62

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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.