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Finding the Fourth Proportional to 582.80, 873.44 and 257.76

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Solution

The fourth proportional to 582.80, 873.44 and 257.76 is: 386.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.80 : 873.44 = 257.76 : x
  2. Step 2: Convert to fraction form
    582.80/873.44 = 257.76/x
  3. Step 3: Cross multiply
    582.80x = 873.44 × 257.76
  4. Step 4: Simplify right side
    582.80x = 225,137.89
  5. Step 5: Solve for x
    x = 225,137.89/582.80
  6. Step 6: Final answer
    x = 386.30

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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.