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Finding the Fourth Proportional to 491.64, 741.09 and 463.41

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Solution

The fourth proportional to 491.64, 741.09 and 463.41 is: 698.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.64 : 741.09 = 463.41 : x
  2. Step 2: Convert to fraction form
    491.64/741.09 = 463.41/x
  3. Step 3: Cross multiply
    491.64x = 741.09 × 463.41
  4. Step 4: Simplify right side
    491.64x = 343,428.52
  5. Step 5: Solve for x
    x = 343,428.52/491.64
  6. Step 6: Final answer
    x = 698.54

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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.