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Finding the Fourth Proportional to 491.67, 740.82 and 406.89

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Solution

The fourth proportional to 491.67, 740.82 and 406.89 is: 613.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.67 : 740.82 = 406.89 : x
  2. Step 2: Convert to fraction form
    491.67/740.82 = 406.89/x
  3. Step 3: Cross multiply
    491.67x = 740.82 × 406.89
  4. Step 4: Simplify right side
    491.67x = 301,432.25
  5. Step 5: Solve for x
    x = 301,432.25/491.67
  6. Step 6: Final answer
    x = 613.08

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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.