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Finding the Fourth Proportional to 556.86, 769.06 and 380.64

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Solution

The fourth proportional to 556.86, 769.06 and 380.64 is: 525.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.86 : 769.06 = 380.64 : x
  2. Step 2: Convert to fraction form
    556.86/769.06 = 380.64/x
  3. Step 3: Cross multiply
    556.86x = 769.06 × 380.64
  4. Step 4: Simplify right side
    556.86x = 292,731.89
  5. Step 5: Solve for x
    x = 292,731.89/556.86
  6. Step 6: Final answer
    x = 525.68

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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.