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Finding the Fourth Proportional to 498.81, 688.44 and 415.79

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Solution

The fourth proportional to 498.81, 688.44 and 415.79 is: 573.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.81 : 688.44 = 415.79 : x
  2. Step 2: Convert to fraction form
    498.81/688.44 = 415.79/x
  3. Step 3: Cross multiply
    498.81x = 688.44 × 415.79
  4. Step 4: Simplify right side
    498.81x = 286,243.03
  5. Step 5: Solve for x
    x = 286,243.03/498.81
  6. Step 6: Final answer
    x = 573.85

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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.