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Finding the Fourth Proportional to 607.60, 911.59 and 256.39

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Solution

The fourth proportional to 607.60, 911.59 and 256.39 is: 384.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.60 : 911.59 = 256.39 : x
  2. Step 2: Convert to fraction form
    607.60/911.59 = 256.39/x
  3. Step 3: Cross multiply
    607.60x = 911.59 × 256.39
  4. Step 4: Simplify right side
    607.60x = 233,716.72
  5. Step 5: Solve for x
    x = 233,716.72/607.60
  6. Step 6: Final answer
    x = 384.66

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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.