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Finding the Fourth Proportional to 495.25, 684.77 and 433.76

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Solution

The fourth proportional to 495.25, 684.77 and 433.76 is: 599.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.25 : 684.77 = 433.76 : x
  2. Step 2: Convert to fraction form
    495.25/684.77 = 433.76/x
  3. Step 3: Cross multiply
    495.25x = 684.77 × 433.76
  4. Step 4: Simplify right side
    495.25x = 297,020.24
  5. Step 5: Solve for x
    x = 297,020.24/495.25
  6. Step 6: Final answer
    x = 599.74

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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.