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Finding the Fourth Proportional to 495.63, 684.02 and 371.08

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Solution

The fourth proportional to 495.63, 684.02 and 371.08 is: 512.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.63 : 684.02 = 371.08 : x
  2. Step 2: Convert to fraction form
    495.63/684.02 = 371.08/x
  3. Step 3: Cross multiply
    495.63x = 684.02 × 371.08
  4. Step 4: Simplify right side
    495.63x = 253,826.14
  5. Step 5: Solve for x
    x = 253,826.14/495.63
  6. Step 6: Final answer
    x = 512.13

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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.