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Finding the Fourth Proportional to 917.39, 1,376.08 and 396.96

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Solution

The fourth proportional to 917.39, 1,376.08 and 396.96 is: 595.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.39 : 1,376.08 = 396.96 : x
  2. Step 2: Convert to fraction form
    917.39/1,376.08 = 396.96/x
  3. Step 3: Cross multiply
    917.39x = 1,376.08 × 396.96
  4. Step 4: Simplify right side
    917.39x = 546,247.72
  5. Step 5: Solve for x
    x = 546,247.72/917.39
  6. Step 6: Final answer
    x = 595.44

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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.