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Finding the Fourth Proportional to 491.74, 741.00 and 406.99

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Solution

The fourth proportional to 491.74, 741.00 and 406.99 is: 613.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.74 : 741.00 = 406.99 : x
  2. Step 2: Convert to fraction form
    491.74/741.00 = 406.99/x
  3. Step 3: Cross multiply
    491.74x = 741.00 × 406.99
  4. Step 4: Simplify right side
    491.74x = 301,574.87
  5. Step 5: Solve for x
    x = 301,574.87/491.74
  6. Step 6: Final answer
    x = 613.28

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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.