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Finding the Fourth Proportional to 572.36, 856.64 and 409.56

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Solution

The fourth proportional to 572.36, 856.64 and 409.56 is: 612.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.36 : 856.64 = 409.56 : x
  2. Step 2: Convert to fraction form
    572.36/856.64 = 409.56/x
  3. Step 3: Cross multiply
    572.36x = 856.64 × 409.56
  4. Step 4: Simplify right side
    572.36x = 350,845.48
  5. Step 5: Solve for x
    x = 350,845.48/572.36
  6. Step 6: Final answer
    x = 612.98

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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.