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Finding the Fourth Proportional to 556.76, 835.55 and 419.97

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Solution

The fourth proportional to 556.76, 835.55 and 419.97 is: 630.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.76 : 835.55 = 419.97 : x
  2. Step 2: Convert to fraction form
    556.76/835.55 = 419.97/x
  3. Step 3: Cross multiply
    556.76x = 835.55 × 419.97
  4. Step 4: Simplify right side
    556.76x = 350,903.83
  5. Step 5: Solve for x
    x = 350,903.83/556.76
  6. Step 6: Final answer
    x = 630.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.