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Finding the Fourth Proportional to 557.78, 833.60 and 411.84

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Solution

The fourth proportional to 557.78, 833.60 and 411.84 is: 615.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.78 : 833.60 = 411.84 : x
  2. Step 2: Convert to fraction form
    557.78/833.60 = 411.84/x
  3. Step 3: Cross multiply
    557.78x = 833.60 × 411.84
  4. Step 4: Simplify right side
    557.78x = 343,309.82
  5. Step 5: Solve for x
    x = 343,309.82/557.78
  6. Step 6: Final answer
    x = 615.49

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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.