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Finding the Fourth Proportional to 495.64, 683.58 and 408.16

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Solution

The fourth proportional to 495.64, 683.58 and 408.16 is: 562.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.64 : 683.58 = 408.16 : x
  2. Step 2: Convert to fraction form
    495.64/683.58 = 408.16/x
  3. Step 3: Cross multiply
    495.64x = 683.58 × 408.16
  4. Step 4: Simplify right side
    495.64x = 279,010.01
  5. Step 5: Solve for x
    x = 279,010.01/495.64
  6. Step 6: Final answer
    x = 562.93

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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.