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Finding the Fourth Proportional to 495.08, 738.27 and 460.46

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Solution

The fourth proportional to 495.08, 738.27 and 460.46 is: 686.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.08 : 738.27 = 460.46 : x
  2. Step 2: Convert to fraction form
    495.08/738.27 = 460.46/x
  3. Step 3: Cross multiply
    495.08x = 738.27 × 460.46
  4. Step 4: Simplify right side
    495.08x = 339,938.39
  5. Step 5: Solve for x
    x = 339,938.39/495.08
  6. Step 6: Final answer
    x = 686.63

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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.