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Finding the Fourth Proportional to 495.24, 683.10 and 347.64

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Solution

The fourth proportional to 495.24, 683.10 and 347.64 is: 479.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.24 : 683.10 = 347.64 : x
  2. Step 2: Convert to fraction form
    495.24/683.10 = 347.64/x
  3. Step 3: Cross multiply
    495.24x = 683.10 × 347.64
  4. Step 4: Simplify right side
    495.24x = 237,472.88
  5. Step 5: Solve for x
    x = 237,472.88/495.24
  6. Step 6: Final answer
    x = 479.51

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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.