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Finding the Fourth Proportional to 556.46, 768.75 and 552.14

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Solution

The fourth proportional to 556.46, 768.75 and 552.14 is: 762.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.46 : 768.75 = 552.14 : x
  2. Step 2: Convert to fraction form
    556.46/768.75 = 552.14/x
  3. Step 3: Cross multiply
    556.46x = 768.75 × 552.14
  4. Step 4: Simplify right side
    556.46x = 424,457.63
  5. Step 5: Solve for x
    x = 424,457.63/556.46
  6. Step 6: Final answer
    x = 762.78

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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.