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Finding the Fourth Proportional to 416.51, 575.88 and 409.93

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Solution

The fourth proportional to 416.51, 575.88 and 409.93 is: 566.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.51 : 575.88 = 409.93 : x
  2. Step 2: Convert to fraction form
    416.51/575.88 = 409.93/x
  3. Step 3: Cross multiply
    416.51x = 575.88 × 409.93
  4. Step 4: Simplify right side
    416.51x = 236,074.79
  5. Step 5: Solve for x
    x = 236,074.79/416.51
  6. Step 6: Final answer
    x = 566.79

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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.