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Finding the Fourth Proportional to 495.79, 685.07 and 355.66

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Solution

The fourth proportional to 495.79, 685.07 and 355.66 is: 491.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.79 : 685.07 = 355.66 : x
  2. Step 2: Convert to fraction form
    495.79/685.07 = 355.66/x
  3. Step 3: Cross multiply
    495.79x = 685.07 × 355.66
  4. Step 4: Simplify right side
    495.79x = 243,652.00
  5. Step 5: Solve for x
    x = 243,652.00/495.79
  6. Step 6: Final answer
    x = 491.44

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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.