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Finding the Fourth Proportional to 628.49, 942.57 and 491.19

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Solution

The fourth proportional to 628.49, 942.57 and 491.19 is: 736.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.49 : 942.57 = 491.19 : x
  2. Step 2: Convert to fraction form
    628.49/942.57 = 491.19/x
  3. Step 3: Cross multiply
    628.49x = 942.57 × 491.19
  4. Step 4: Simplify right side
    628.49x = 462,980.96
  5. Step 5: Solve for x
    x = 462,980.96/628.49
  6. Step 6: Final answer
    x = 736.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.