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Finding the Fourth Proportional to 556.27, 767.83 and 346.78

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Solution

The fourth proportional to 556.27, 767.83 and 346.78 is: 478.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.27 : 767.83 = 346.78 : x
  2. Step 2: Convert to fraction form
    556.27/767.83 = 346.78/x
  3. Step 3: Cross multiply
    556.27x = 767.83 × 346.78
  4. Step 4: Simplify right side
    556.27x = 266,268.83
  5. Step 5: Solve for x
    x = 266,268.83/556.27
  6. Step 6: Final answer
    x = 478.67

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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.