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Finding the Fourth Proportional to 556.50, 835.09 and 407.99

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Solution

The fourth proportional to 556.50, 835.09 and 407.99 is: 612.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.50 : 835.09 = 407.99 : x
  2. Step 2: Convert to fraction form
    556.50/835.09 = 407.99/x
  3. Step 3: Cross multiply
    556.50x = 835.09 × 407.99
  4. Step 4: Simplify right side
    556.50x = 340,707.03
  5. Step 5: Solve for x
    x = 340,707.03/556.50
  6. Step 6: Final answer
    x = 612.23

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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.