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Finding the Fourth Proportional to 556.51, 835.17 and 419.94

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Solution

The fourth proportional to 556.51, 835.17 and 419.94 is: 630.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.51 : 835.17 = 419.94 : x
  2. Step 2: Convert to fraction form
    556.51/835.17 = 419.94/x
  3. Step 3: Cross multiply
    556.51x = 835.17 × 419.94
  4. Step 4: Simplify right side
    556.51x = 350,721.29
  5. Step 5: Solve for x
    x = 350,721.29/556.51
  6. Step 6: Final answer
    x = 630.22

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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.