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Finding the Fourth Proportional to 718.64, 1,078.02 and 256.67

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Solution

The fourth proportional to 718.64, 1,078.02 and 256.67 is: 385.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.64 : 1,078.02 = 256.67 : x
  2. Step 2: Convert to fraction form
    718.64/1,078.02 = 256.67/x
  3. Step 3: Cross multiply
    718.64x = 1,078.02 × 256.67
  4. Step 4: Simplify right side
    718.64x = 276,695.39
  5. Step 5: Solve for x
    x = 276,695.39/718.64
  6. Step 6: Final answer
    x = 385.03

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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.