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Finding the Fourth Proportional to 416.02, 572.39 and 405.77

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Solution

The fourth proportional to 416.02, 572.39 and 405.77 is: 558.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.02 : 572.39 = 405.77 : x
  2. Step 2: Convert to fraction form
    416.02/572.39 = 405.77/x
  3. Step 3: Cross multiply
    416.02x = 572.39 × 405.77
  4. Step 4: Simplify right side
    416.02x = 232,258.69
  5. Step 5: Solve for x
    x = 232,258.69/416.02
  6. Step 6: Final answer
    x = 558.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.