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Finding the Fourth Proportional to 496.00, 683.84 and 407.15

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Solution

The fourth proportional to 496.00, 683.84 and 407.15 is: 561.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.00 : 683.84 = 407.15 : x
  2. Step 2: Convert to fraction form
    496.00/683.84 = 407.15/x
  3. Step 3: Cross multiply
    496.00x = 683.84 × 407.15
  4. Step 4: Simplify right side
    496.00x = 278,425.46
  5. Step 5: Solve for x
    x = 278,425.46/496.00
  6. Step 6: Final answer
    x = 561.35

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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.