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Finding the Fourth Proportional to 556.74, 830.79 and 439.89

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Solution

The fourth proportional to 556.74, 830.79 and 439.89 is: 656.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.74 : 830.79 = 439.89 : x
  2. Step 2: Convert to fraction form
    556.74/830.79 = 439.89/x
  3. Step 3: Cross multiply
    556.74x = 830.79 × 439.89
  4. Step 4: Simplify right side
    556.74x = 365,456.21
  5. Step 5: Solve for x
    x = 365,456.21/556.74
  6. Step 6: Final answer
    x = 656.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.