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Finding the Fourth Proportional to 612.96, 843.72 and 554.64

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Solution

The fourth proportional to 612.96, 843.72 and 554.64 is: 763.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.96 : 843.72 = 554.64 : x
  2. Step 2: Convert to fraction form
    612.96/843.72 = 554.64/x
  3. Step 3: Cross multiply
    612.96x = 843.72 × 554.64
  4. Step 4: Simplify right side
    612.96x = 467,960.86
  5. Step 5: Solve for x
    x = 467,960.86/612.96
  6. Step 6: Final answer
    x = 763.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.