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Finding the Fourth Proportional to 556.56, 830.03 and 474.80

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Solution

The fourth proportional to 556.56, 830.03 and 474.80 is: 708.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.56 : 830.03 = 474.80 : x
  2. Step 2: Convert to fraction form
    556.56/830.03 = 474.80/x
  3. Step 3: Cross multiply
    556.56x = 830.03 × 474.80
  4. Step 4: Simplify right side
    556.56x = 394,091.72
  5. Step 5: Solve for x
    x = 394,091.72/556.56
  6. Step 6: Final answer
    x = 708.08

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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.