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Finding the Fourth Proportional to 491.39, 740.42 and 406.61

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Solution

The fourth proportional to 491.39, 740.42 and 406.61 is: 612.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.39 : 740.42 = 406.61 : x
  2. Step 2: Convert to fraction form
    491.39/740.42 = 406.61/x
  3. Step 3: Cross multiply
    491.39x = 740.42 × 406.61
  4. Step 4: Simplify right side
    491.39x = 301,062.18
  5. Step 5: Solve for x
    x = 301,062.18/491.39
  6. Step 6: Final answer
    x = 612.67

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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.