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Finding the Fourth Proportional to 719.08, 1,078.31 and 256.77

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Solution

The fourth proportional to 719.08, 1,078.31 and 256.77 is: 385.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.08 : 1,078.31 = 256.77 : x
  2. Step 2: Convert to fraction form
    719.08/1,078.31 = 256.77/x
  3. Step 3: Cross multiply
    719.08x = 1,078.31 × 256.77
  4. Step 4: Simplify right side
    719.08x = 276,878.30
  5. Step 5: Solve for x
    x = 276,878.30/719.08
  6. Step 6: Final answer
    x = 385.05

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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.