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Finding the Fourth Proportional to 417.60, 570.96 and 406.08

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Solution

The fourth proportional to 417.60, 570.96 and 406.08 is: 555.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.60 : 570.96 = 406.08 : x
  2. Step 2: Convert to fraction form
    417.60/570.96 = 406.08/x
  3. Step 3: Cross multiply
    417.60x = 570.96 × 406.08
  4. Step 4: Simplify right side
    417.60x = 231,855.44
  5. Step 5: Solve for x
    x = 231,855.44/417.60
  6. Step 6: Final answer
    x = 555.21

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.