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Finding the Fourth Proportional to 495.31, 682.80 and 407.29

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Solution

The fourth proportional to 495.31, 682.80 and 407.29 is: 561.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.31 : 682.80 = 407.29 : x
  2. Step 2: Convert to fraction form
    495.31/682.80 = 407.29/x
  3. Step 3: Cross multiply
    495.31x = 682.80 × 407.29
  4. Step 4: Simplify right side
    495.31x = 278,097.61
  5. Step 5: Solve for x
    x = 278,097.61/495.31
  6. Step 6: Final answer
    x = 561.46

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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.