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Finding the Fourth Proportional to 556.46, 768.36 and 346.94

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Solution

The fourth proportional to 556.46, 768.36 and 346.94 is: 479.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.46 : 768.36 = 346.94 : x
  2. Step 2: Convert to fraction form
    556.46/768.36 = 346.94/x
  3. Step 3: Cross multiply
    556.46x = 768.36 × 346.94
  4. Step 4: Simplify right side
    556.46x = 266,574.82
  5. Step 5: Solve for x
    x = 266,574.82/556.46
  6. Step 6: Final answer
    x = 479.05

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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.