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Finding the Fourth Proportional to 415.83, 573.53 and 322.86

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Solution

The fourth proportional to 415.83, 573.53 and 322.86 is: 445.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.83 : 573.53 = 322.86 : x
  2. Step 2: Convert to fraction form
    415.83/573.53 = 322.86/x
  3. Step 3: Cross multiply
    415.83x = 573.53 × 322.86
  4. Step 4: Simplify right side
    415.83x = 185,168.28
  5. Step 5: Solve for x
    x = 185,168.28/415.83
  6. Step 6: Final answer
    x = 445.30

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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.