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Finding the Fourth Proportional to 718.96, 1,078.20 and 256.66

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Solution

The fourth proportional to 718.96, 1,078.20 and 256.66 is: 384.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.96 : 1,078.20 = 256.66 : x
  2. Step 2: Convert to fraction form
    718.96/1,078.20 = 256.66/x
  3. Step 3: Cross multiply
    718.96x = 1,078.20 × 256.66
  4. Step 4: Simplify right side
    718.96x = 276,730.81
  5. Step 5: Solve for x
    x = 276,730.81/718.96
  6. Step 6: Final answer
    x = 384.90

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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.