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Finding the Fourth Proportional to 495.67, 746.85 and 410.89

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Solution

The fourth proportional to 495.67, 746.85 and 410.89 is: 619.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.67 : 746.85 = 410.89 : x
  2. Step 2: Convert to fraction form
    495.67/746.85 = 410.89/x
  3. Step 3: Cross multiply
    495.67x = 746.85 × 410.89
  4. Step 4: Simplify right side
    495.67x = 306,873.20
  5. Step 5: Solve for x
    x = 306,873.20/495.67
  6. Step 6: Final answer
    x = 619.11

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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.