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Finding the Fourth Proportional to 479.98, 661.53 and 410.86

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Solution

The fourth proportional to 479.98, 661.53 and 410.86 is: 566.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.98 : 661.53 = 410.86 : x
  2. Step 2: Convert to fraction form
    479.98/661.53 = 410.86/x
  3. Step 3: Cross multiply
    479.98x = 661.53 × 410.86
  4. Step 4: Simplify right side
    479.98x = 271,796.22
  5. Step 5: Solve for x
    x = 271,796.22/479.98
  6. Step 6: Final answer
    x = 566.27

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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.