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Finding the Fourth Proportional to 495.46, 746.59 and 410.69

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Solution

The fourth proportional to 495.46, 746.59 and 410.69 is: 618.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.46 : 746.59 = 410.69 : x
  2. Step 2: Convert to fraction form
    495.46/746.59 = 410.69/x
  3. Step 3: Cross multiply
    495.46x = 746.59 × 410.69
  4. Step 4: Simplify right side
    495.46x = 306,618.91
  5. Step 5: Solve for x
    x = 306,618.91/495.46
  6. Step 6: Final answer
    x = 618.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.