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Finding the Fourth Proportional to 495.09, 682.71 and 370.56

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Solution

The fourth proportional to 495.09, 682.71 and 370.56 is: 510.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.09 : 682.71 = 370.56 : x
  2. Step 2: Convert to fraction form
    495.09/682.71 = 370.56/x
  3. Step 3: Cross multiply
    495.09x = 682.71 × 370.56
  4. Step 4: Simplify right side
    495.09x = 252,985.02
  5. Step 5: Solve for x
    x = 252,985.02/495.09
  6. Step 6: Final answer
    x = 510.99

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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.