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Finding the Fourth Proportional to 556.76, 768.67 and 380.01

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Solution

The fourth proportional to 556.76, 768.67 and 380.01 is: 524.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.76 : 768.67 = 380.01 : x
  2. Step 2: Convert to fraction form
    556.76/768.67 = 380.01/x
  3. Step 3: Cross multiply
    556.76x = 768.67 × 380.01
  4. Step 4: Simplify right side
    556.76x = 292,106.18
  5. Step 5: Solve for x
    x = 292,106.18/556.76
  6. Step 6: Final answer
    x = 524.66

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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.