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Finding the Fourth Proportional to 942.09, 1,412.56 and 421.99

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Solution

The fourth proportional to 942.09, 1,412.56 and 421.99 is: 632.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.09 : 1,412.56 = 421.99 : x
  2. Step 2: Convert to fraction form
    942.09/1,412.56 = 421.99/x
  3. Step 3: Cross multiply
    942.09x = 1,412.56 × 421.99
  4. Step 4: Simplify right side
    942.09x = 596,086.19
  5. Step 5: Solve for x
    x = 596,086.19/942.09
  6. Step 6: Final answer
    x = 632.73

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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.