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Finding the Fourth Proportional to 495.94, 681.54 and 402.49

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Solution

The fourth proportional to 495.94, 681.54 and 402.49 is: 553.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.94 : 681.54 = 402.49 : x
  2. Step 2: Convert to fraction form
    495.94/681.54 = 402.49/x
  3. Step 3: Cross multiply
    495.94x = 681.54 × 402.49
  4. Step 4: Simplify right side
    495.94x = 274,313.03
  5. Step 5: Solve for x
    x = 274,313.03/495.94
  6. Step 6: Final answer
    x = 553.12

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.