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Finding the Fourth Proportional to 491.67, 741.87 and 472.68

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Solution

The fourth proportional to 491.67, 741.87 and 472.68 is: 713.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.67 : 741.87 = 472.68 : x
  2. Step 2: Convert to fraction form
    491.67/741.87 = 472.68/x
  3. Step 3: Cross multiply
    491.67x = 741.87 × 472.68
  4. Step 4: Simplify right side
    491.67x = 350,667.11
  5. Step 5: Solve for x
    x = 350,667.11/491.67
  6. Step 6: Final answer
    x = 713.22

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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.