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Finding the Fourth Proportional to 556.61, 768.59 and 346.86

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Solution

The fourth proportional to 556.61, 768.59 and 346.86 is: 478.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.61 : 768.59 = 346.86 : x
  2. Step 2: Convert to fraction form
    556.61/768.59 = 346.86/x
  3. Step 3: Cross multiply
    556.61x = 768.59 × 346.86
  4. Step 4: Simplify right side
    556.61x = 266,591.39
  5. Step 5: Solve for x
    x = 266,591.39/556.61
  6. Step 6: Final answer
    x = 478.96

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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.