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Finding the Fourth Proportional to 495.82, 740.12 and 459.22

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Solution

The fourth proportional to 495.82, 740.12 and 459.22 is: 685.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.82 : 740.12 = 459.22 : x
  2. Step 2: Convert to fraction form
    495.82/740.12 = 459.22/x
  3. Step 3: Cross multiply
    495.82x = 740.12 × 459.22
  4. Step 4: Simplify right side
    495.82x = 339,877.91
  5. Step 5: Solve for x
    x = 339,877.91/495.82
  6. Step 6: Final answer
    x = 685.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.