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Finding the Fourth Proportional to 496.08, 683.80 and 391.01

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Solution

The fourth proportional to 496.08, 683.80 and 391.01 is: 538.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.08 : 683.80 = 391.01 : x
  2. Step 2: Convert to fraction form
    496.08/683.80 = 391.01/x
  3. Step 3: Cross multiply
    496.08x = 683.80 × 391.01
  4. Step 4: Simplify right side
    496.08x = 267,368.24
  5. Step 5: Solve for x
    x = 267,368.24/496.08
  6. Step 6: Final answer
    x = 538.96

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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.