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Finding the Fourth Proportional to 556.44, 832.86 and 409.74

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Solution

The fourth proportional to 556.44, 832.86 and 409.74 is: 613.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.44 : 832.86 = 409.74 : x
  2. Step 2: Convert to fraction form
    556.44/832.86 = 409.74/x
  3. Step 3: Cross multiply
    556.44x = 832.86 × 409.74
  4. Step 4: Simplify right side
    556.44x = 341,256.06
  5. Step 5: Solve for x
    x = 341,256.06/556.44
  6. Step 6: Final answer
    x = 613.28

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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.